Need wiring for 4 light with 4(2 way switch) when on 1 switch 1 and 2 light will on when on 2 switch 1 light will off 2 and 3 light will on when on 3 switch 2 will off 3 and 4 light will on when 4 on switch all light will off.

Firstly (1) will be Black=hot, White=neutral and Copper=Ground. Don't work on these wires with them live.
All copper wires will be connected together and if possible, the metal box earth lug.
You will need a SPST or SPDT switch (image of SPDT switch is shown below) to mount in your junction box. If your switch has a ground lug, you need to also connect the copper wire there.
(1) Black will connect to Switch Common, (3) Black and (4) Black. Note: all can connect to the Switch Common connection as the switch will generally allow 3 wires to be connected per terminal; one push terminal and two screw pressed terminals.
(1) White will be connected to (2) White, (3) White and (4) White. For this connection, you can use a twist cap of the correct size to parallel these neutral wires.
(2) Black will connect to other free connection on the switch. There may be two free connections, so the one you use will basically determine which direction the switch will be on/off.
Once connected and checked, you can power up. If correctly wired, you should now have switched power to (2) and continuous power to (3) and (4).
I hope this helps with your inquiry.

You have 3 cables entering the box.
Each cable has black and white and ground wire.
You have a single pole switch.
The switch has 2 brass-colored screws and 1 green-colored screw.

1) One thing is certain: all the ground wires connect together and then connect to green screw on switch.

2) After that, we are guessing without more information.
Add a comment.

3) What does the switch control?

4) If the switch controls a hallway light, and there is another switch for the same light: then you have wrong switch. You need 3-way switch. Buy 3-way switch and re-post question at fixya.

5) If switch controls a bath fan-light combo, repost question at fixya.

6) If the switch controls a regular light, and no other switch is involved: then the following information might work. Or you need to do testing and re-post another question at fixya.

-White wires probably connect together and are covered with a wire nut.

-Then two black wires connect to one brass screw and 1 black wire connects to other brass screw.

-But which black wire?

-Only one of the black wires has power from circuit breaker. That is hot wire.
-Hot wire connects to 1st brass screw on switch. Either screw.

-And then connect one of the other black wires to 2nd brass screw. Turn on power and see if light turns on.
-Try other black wire same way.
-The black wire(s) that turn on lights on should be left connected to 2nd brass screw.
-If one black wire did not turn on lights, then that wire probably connects to 1st brass screw along with hot wire.

You have 2 questions:
1) Pull-chain Switch question:
You need a fan switch with 4 wires.
http://www.homedepot.com/webapp/wcs/stores/servlet/ProductDisplay?storeId=10051&productId=202191016&langId=-1&catalogId=10053&PID=500871&cm_mmc=CJ-_-500871-_-10368321&cpncode=00-29062147-2&AID=10368321&cj=true&srccode=cii_9324560&locStoreNum=577
Your pull-chain switch has one wire that connects to Hot from wall switch. And then one wire for each of the 3 speeds.
Best way to start is to test the old switch with continuity tester.

Compare results with following image of 3-wire switch for general reference:
http://waterheatertimer.org/images/Fan-motor-1-500.jpg

2) Ceiling fan pull chain switch is for the fan only.

You want a pull chain switch to control 3 lights.
1 pull = 1 light on
2nd pull = 2 lights on
3rd pull = 3 lights on.

Westinghouse 4-wire fan switch.
http://www.homedepot.com/webapp/wcs/stores/servlet/ProductDisplay?storeId=10051&productId=202191016&langId=-1&catalogId=10053&PID=500871&cm_mmc=CJ-_-500871-_-10368321&cpncode=00-29062147-2&AID=10368321&cj=true&srccode=cii_9324560&locStoreNum=577

Open following link for wiring diagram:
Black hot wire and white neutral wire are from circuit breaker box.
Red pull-chain wire typically connects to black hot wire. Other wire colors will vary.
http://waterheatertimer.org/images/Fan-switch-2-700.jpg

If you want to control both the light and the fan using 3-ways, then just wire 2 sets of the 3-way circuits. For this you need two sets of 3-wire between the switches, and one 3-wire cable from the switch location to the fan/light box.

At box #1 (a 2 gang box), you will run a power cable (marked cable #1) into it. From there you run 2 sets of 3-wire cables (identified as cable #2 & cable #3) to the other switch location, which will also be a 2-gang box (box #2).

Also from box #1, you will run a 3-wire cable (cable #4) to the fan/light box (box #3).

Hook up is as follows:

Box #3: connect black of cable #4 to black (fan), connect red of cable #4 to blue (light), connect white of cable #4 to white (fan/light), and connect the bare to the green.

Box #2: Connect white of cable #2 to identified terminal on 1st 3-way switch (#3). Connect red & black of cable #2 to the remaining screws of 3-way switch #3. Next connect white of cable #3 to identified terminal of 2nd 3-way switch (#4), and connect black and red to remaining screws. Tie all grounds together and terminate to both switches.

At box #1, connect black from cable #1 to whites in cables #2 & #3, using a wirenut. Connect white in cable #1 to white in cable #4. Connect black and red in cable #2 to 3rd 3-way switch (#1) and connect black and red in cable #3 to 4th 3-way switch (#2). Connect black in cable #4 to identified terminal of 3-way switch #1, and connect red in cable #4 to identified terminal on 3-way switch #2. Tie all grounds together and to the switches

Copy following link for 3-speed fan wiring:
http://waterheatertimer.org/How-to-wire-Cooper-277-pilot-light-switch.html#3-speed

If you need further help, I’m available over the phone at https://www.6ya.com/expert/gene_9f0ef4df2f9897e7

Decora 3-way and 4-way switches do not wire differently than toggle-type switches.
Instructions below are tedious but will accurately guide you to solution.

Let's break down the problem starting with 3-ways.

1) Start with 3-way switches:
Old 3-way switch has 2 brass screws and 1 dark screw
New decora has same color screws.
Wire that went to dark screw on old device must attach to dark screw on decora device.
Other two wires can attach to either brass screw.
Wires that attach to brass screws are travelers ... these wires travel to the 4-way switch.
So there are 2 traveler wires at each 3-way switch.

2) Let's test if 3-way switches are wired correctly by taking 4-way switch out of equation.
We will resolve problem with 4-way switch after 3-ways are correct.

There are 4 wires at the 4-way switch.
These are the 2 traveler wires that arrive from each 3-way switch.

At the 4-way switch, 2 wires arrive in one cable, and 2 wires arrive from another cable.
To say it differently, there are 2 wires from cable1 and 2 wires from cable2.
Connect 1 wire from cable1 to 1 wire from cable2 with a wire nut
Now connect the 2nd wire from cable1 to 2nd wire from cable2 with another wire nut.
So now the traveler wires are connected, and the 4 way switch is out of equation.
Turn on power, and click 3-way switches to see if both switches turn lights on-off in all positions.

Do your 3-way switches work correctly?

3) If 3-ways are not correct, then you have wrong wire connected to dark screw.
First thing to check is if you can identify traveler wire colors by looking at wires at 4-way switch.
Remember, traveler wires at 4-way switch go back to 3-way switch and connect to brass screws on 3-way switch.

4) If you cannot tell traveler wires by looking at 4-way switch, then you can try different combinations until both 3-way switches work.
Or you can test: disconnect wires from one of the 3-way switches. Separate 3 wires for testing. Move other 3-way switch to down position. Turn on power. Test each wire to bare ground wire. Mark wire that lights up. Now move other 3-way to up position. Test each wire to bare ground wire. If same wire lights up each test, then that wire goes to dark screw. If different wire lights up, then mark that wire. The two marked wires are travelers, and they connect to brass screws. Other wire connects to dark screw. Repeat identical test for other 3-way switch.

At this point your 3-way switches will work, if light bubs are not burned out.

5) Last step, the 4 way switch.
Remember from step above, that 2 wires arrive in cable1: These 2 wires connect on one side of 4-way switch. The other 2 wires that arrive in cable2 connect of other side of 4-way switch.

Add a comment if you need more help.

OK .. the thick black and white are the power for the fan , are there also white wires on the lamp sockets ..??
The thick black wire should connect to the black wire on the switch.
The small black wires connect to the red and blue wire on the switch .. two small black wires each .. that should give you a position for 2 lights , and 4 lights, on the step switch .. but there should be white wires from the lamp sockets connected to the thick white from the fan .

please respond .

Please Vote !!

I can help, but I need a lot more specific info. Please use these naming conventions to describe what you have:
G1, G2 -- the two gangs of 4 switches each G1S1 - the first switch in gang 1 L1 - light, appliance or outlet number 1
Describe how each light is controlled as follows: L1 - G1S1 & G2S1 (one light controlled by a pair of 3-way switches) L2,L3 - G1S2 (assumes a normal switch controlling two lights) etc. for all of the L's presently controlled by all 8 switches
Then describe what you want the 6 new switches to operate.

If you removed a switch there should be two wires. Connect one of the wires to each of the switch wires or screws. good luck