1727, "without the organized structure which characterizes living things," from in- (1) "not, opposite of" + organic (adj.). Inorganical in this sense is from 1670s. Meaning "not arriving by natural growth" is recorded from 1862.
word-forming element meaning "not, opposite of, without" (also im-, il-, ir- by assimilation of -n- with following consonant, a tendency which began in later Latin), from Latin in- "not," cognate with Greek an-, Old English un-, all from PIE root *ne- "not."
In Old French and Middle English often en-, but most of these forms have not survived in Modern English, and the few that do (enemy, for instance) no longer are felt as negative. The rule of thumb in English has been to use in- with obviously Latin elements, un- with native or nativized ones.
1510s, "serving as a means or instrument," from Latin organicus, from Greek organikos "of or pertaining to an organ, serving as instruments or engines," from organon "instrument" (see organ). The sense of "from or characteristic of organized living beings" (objects that have organs) is attested from 1778. The sense of "forming a whole with a systematic arrangement or coordination of parts" is by 1817. The meaning "free from pesticides and fertilizers" is attested by 1942. Organic chemistry is attested from 1831. Earlier was organical "relating to the body or its organs" (mid-15c.) and Middle English had organik, of body parts, "composed of distinct substances, possessing distinct properties" (c. 1400).
<a href="https://www.etymonline.com/word/inorganic">Etymology of inorganic by etymonline</a>
Harper, D. (n.d.). Etymology of inorganic. Online Etymology Dictionary. Retrieved $(datetime), from https://www.etymonline.com/word/inorganic