4S at a 1C charge rate (5amps) takes 84watts (16.8v x 5a). That 10a supply will have enough to do that (should be about 120watts = 12v x 10a assuming its 12v).

It won't let you run the Muchmore at max capability (120watts) since thats all the PS puts out. The Muchmore charger on the 10a supply will prob only be able to run at 100 -105watts.