Create a mixture of 1 tablespoon of liquid dish soap and 4 cups of warm water. Stir the ingredients to create a sudsy mixture.
Dampen a soft cloth with the mixture and wipe down the acetone-stained area. Allow the wood to dry completely before continuing.
Color in the damaged area with a wood fill-in stick, available at home improvement or hardware stores. Rub the stick over the wood to restore the color, if necessary. Otherwise, move onto the next step.
Cover the damaged wood with a thin layer of lacquer or shellac. Apply the product with a natural-bristled paintbrush and allow it to dry at least eight hours or overnight.
Continue to cover the damaged area with the lacquer or shellac until it is flush with the surrounding wood. Depending on the damage’s extent, this could take several applications -- and days -- to complete.
Allow the final coat of shellac or lacquer to dry for at least 24 hours before lightly sanding it flat with fine-grit sandpaper.
Wipe away the sanding dust with a tack cloth and cover the area with furniture polish, according to the package directions.