Cut the edges of the hole to make an even circle.
Purchase a piece of vinyl fabric that is the same color as the furniture you are repairing. It must be large enough to cover the entire hole. If you cannot find a piece of fabric to match your furniture, purchase a white piece and dye it to match using a fabric colorant designed to dye vinyl.
Push the vinyl fabric underneath the hole, taking care not to create an even larger opening.
Smooth out the vinyl fabric under the hole so it is perfectly flat.
Apply vinyl adhesive around the inside edges of the hole. Buy vinyl adhesive at your local hardware or craft store.
Press edges together to form a gapless seal around the entire perimeter of the hole.
Allow patch to dry at least 24 hours before using furniture.