The check valve should be a manual on/off fill valve.
Download a copy of your owners manual here:
https://www.monacocoach.com/rv-owners-manuals
This makes it easy to do a search. Look on page 190 in your Fresh Water System chapter:
City Hook-Up
• Remove hose plug and install a water pressure regulator to
the water hose.
• Pull hose from reel and connect the water hose to a City
Water hook-up.
• Turn the City Water/Tank Fill valve to the City Water
position (full clockwise).
• Turn on the water supply.
• The water pump can be off or on. It will not affect the water
pump to leave it on.