Spray the cherry table with an all-purpose wood spray cleaner. Wipe it off with a soft, lint-free cloth.
Spray the surface area of the table with cold water from a spray bottle. Attach a piece of 800-grit sandpaper to the bottom of an electric sander. Wet sand the entire surface area of the table. Wipe off the dust from sanding with a tack cloth and follow with a handheld vacuum.
Cover the surface area of the table evenly with drizzles of a heavy cut rubbing compound. Rub it in evenly, making little circles with a soft cloth. This will bring your table to a shine.
Drizzle a finer polish compound all over the surface of the table. Run an orbital high-speed buffer all over the surface area. While you're moving the buffer slowly, it is spinning at a high speed and giving the table a bright shine.