The present subject matter discloses a fabric weaving method and apparatus therefor, wherein the method includes forming a fabric where the warp ends of the fabric is made of multifilament polyester yarns and the weft picks are made of cotton or regenerated cellulose fiber or linen fiber or a combination thereof. The woven textile fabric has 50-160 EPI of multifilament polyester yarns of denier within a range of 75D-200D with 7-250 filaments in each polyester yarn, wherein one or more yarns per dent is setup in the reed apparatus of the warp of the loom apparatus. Further, the woven textile fabric comprises of 50-91 picks per inch of cotton or regenerated cellulose fibre or linen fiber or a combination thereof and of 20-50 count (NE). Furthermore, the total cover factor of the woven textile fabric is 10-38, wherein the warp cover factor is 8-19 and the weft cover factor is 10-19.