Just to make sure we are on the same page, could you upload a pic of the ESC board and wires? I was operating under the impression that the white,red,black servo wires were already connected to the ESC board.
That being said, assuming that is true the connector looks approximately like this:

There are a few options for splicing
1) Cut the end off, strip the wire, solder the 4:1 connection (all 4 (black or red) esc wires, to the wire from the pdb). Insulate the joint with heatshrink, electrical tape, or electrical paste, and call it good.
This is my personally preferred method, since you will be soldering on the bullet connectors anyway.
2) Purchase the right type of 4:1 assembly.
Adds unnecessary weight and cost IMO, but will work if you get crafty on the signal (white) wires.
A couple examples
3) Get really creative and get a JR connector pack and build whichever combo you need.
exampleIn any situation, I'm happy to run you or anyone else reading through it.