jrmeers4 :
Can the cat 7 Ethernet cable plug into my PS4, my router, and the powerline?
You would need 2 powerline adapters to accomplish what you're trying to do.
The first one you would plug in near your router, then you would run an ethernet cable from the router to the powerline adapter in the wall.
The second one you would plug in near your ps4, then an ethernet cable from THAT powerline adapter to your ps4.