Part number for this Molex 4 pin wire-to-board connector (or similar: Foxconn, Wieson, Tyco, etc)
Searching for 2510-4AW and 3+1 on aliexpress turns up these, which seem to be exactly what you want:
Searching for 2510-4AW and 3+1 on aliexpress turns up these, which seem to be exactly what you want: