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Hi Randy. I can help you with your project.
When you bring your power cord into the box, connect the neutral from the cord to ALL of the white tails coming from the light sockets. The black tails from the light sockets will connect to one terminal on the switches. So, grab a black lead from a light, and pick a terminal on the adjacent switch to connect it to (either terminal). Then, copy the first one when you wire in each of the next three.
Lastly, use the hot wire from the power cord to feed each switch. Ideally, you should make a short "tail" of wire for the remaining terminal on each of the 4 switches. Connect one end of this short piece of wire to the switch, and the other end will splice to the hot wire from the power cord. That splice will end up with 5 wires in it. One wire will come from the cord, and the other 4 will each come from a switch. Use a wire nut to make the splice.