Three Switches
#1
#4
There are many ways to wire it. To describe them all would be mind-boggling.
If you have open walls and ceilings and therefore complete freedom of routing, then run the 12/2 continuous power cable to the first 3-way switch, a 12/3 from the first 3-way to a 4-way, another 12/3 from the 4-way to the second 3-way, and a 12/2 from the second 3-way to the first light, and then more 12/2 interconnecting the lights until you get to the last one.
If you are dealing with existing wiring, then tell us what you've got now. Tell us whether this ever worked before and you are just trying to reconnect it, or whether this is a new installation with new cable.
If you have open walls and ceilings and therefore complete freedom of routing, then run the 12/2 continuous power cable to the first 3-way switch, a 12/3 from the first 3-way to a 4-way, another 12/3 from the 4-way to the second 3-way, and a 12/2 from the second 3-way to the first light, and then more 12/2 interconnecting the lights until you get to the last one.
If you are dealing with existing wiring, then tell us what you've got now. Tell us whether this ever worked before and you are just trying to reconnect it, or whether this is a new installation with new cable.