You should be O.K. base on some power consumption information from the internet...
Max power consumption ( gaming ) is about 110 Watts and this device is rated 300 watts.
Depends on the manufacture, assume that efficiency of the inverter is 80%.
300 watts x .8 = 240 Watts and inflated specification from the manufacture 240 Watts x .8
= 192 watts. You still have a safety margin of 80%