If
IT*IRK+KLM=TRUE
and
7844$ is a common English word
and
in the above coding distinct digits are represented by distinct letters

then

What letters might be represented by the dollar sign ($)?

Rem1: No acronyms, plurals, proper names, esoteric words.

Rem2: Although there are numerous solutions of the alphametic equation, there exist quite a few candidates for ($) (i.e. the last letter of the common word), with a certain letter (which?) dominating the set.