"eager to undertake, prompt to attempt," 1610s, present-participle adjective from the verb enterprise (late 15c.), from the noun enterprise. Until mid-19c. (at least in Britain) mostly in a bad sense: "scheming, ambitious, foolhardy." Earlier (1560s) as a verbal noun meaning "action of undertaking."
an enterprising young man likely to go far
an enterprising foreign policy
enteric
enteritis
entero-
enterovirus
enterprise
enterprising
entertain
entertainer
entertainment
enthalpy
enthrall