Spritz a skillet lightly with the cooking oil.
Saute the chopped mushrooms in the skillet until they are mostly dry and browned. This will take around 10 minutes. It is difficult to burn mushrooms, so don't worry about cooking them perfectly.
Place the raw burger in a large bowl. Add the mushrooms, and thoroughly combine them with your hands.
Divide the burger mixture into four pieces. Roll them each into a ball and then flatten each into a patty.
Cook the patties in a heated skillet (the one you used for the mushrooms should work). They will take about 6-8 minutes per side over medium heat.
Don't forget to flip your fries if it is time to do so!
When the burgers are just about finished cooking, top each with a slice of cheese. Give it about a minute for the edges of the cheese to melt over the burger. Quickly get the burgers off the heat and on the plates, so the cheese does not burn.
Distribute the fries and salad with dressing amongst the plates as well. Have a great meal!