Inorganically means “in an inorganic way.” Chemists and farmers use it for things made or grown with minerals and chemicals rather than from living matter: a compound produced inorganically, crops grown inorganically. Writers also use it when something did not develop in a natural, living way — a company assembled inorganically by buying other firms, rather than growing from inside. It is a specialist adverb; most people never say it, and “not organically” is often clearer in ordinary talk.