GO:0017060:   3-galactosyl-N-acetylglucosaminide 4-alpha-L-fucosyltransferase activity
Catalysis of the reaction: GDP-L-fucose + beta-D-galactosyl-(1,3)-N-acetyl-D-glucosaminyl-R = GDP + beta-D-galactosyl-(1,3)-[alpha-L-fucosyl-(1,4)]-N-acetyl-D-glucosaminyl-R.