Wyatt was appointed Inspector of Schools for South Australia in 1851 (retiring in 1874) and for the remainder of his life was in every movement that touched the educational or welfare of the colony. He was a governor of the Collegiate School of St Peter, one of the original governors of the State Library of South Australia, a founder and vice-president of the Acclimatization Society, on the board of the Adelaide Botanic Garden, and was chairman of the Adelaide Hospital 1870–1886. He was a member of the Agricultural and Horticultural Society and its president from 1849 to 1850. He was also secretary of the medical board for over 40 years.
