To clean polyester fiber furniture safely, it is important to know what is being cleaned off the material and whether it must be cleaned with water or a solvent. The care label on furniture has an "S" for solvent, a "W" for water and "S-W" if either is safe.
If the area to be cleaned is still wet from a spill, the first step is to soak up as much liquid as possible. To clean an area that is dry, use a vacuum to pick up any loose dirt or dust. Use a brush to scrub away anything that is dried and caked on the material. When all that is left is the stain, clean the stain with a brush and water or a solvent, depending on the furniture's care label.