Wipe the dresser surface with a damp sponge to remove all dust and dirt. Let it air-dry.
Lay one cheesecloth directly on top of the other so that all the edges line up. Scoop a teaspoon of the paste wax into the center of the top cheesecloth.
Join the four corners of the cheesecloths and hold them like a handle. Rub the cheesecloth over the surface of the dresser lightly. As you rub, a thin layer of paste wax will come through the cheesecloth and coat the dresser.
Rub the thin layer of wax over the top of the dresser, along all the trim and on the front of the drawers. Let the paste dry for 15 minutes.
Polish the paste wax. Use a clean, lint-free cloth to buff the paste wax in a circular motion until the surface of the dresser shines.