The Collaborative International Dictionary of English v.0.48:

Erogate \Er"o*gate\, v. t. [imp. & p. p. Erogated; p. pr. &
   vb. n. Erogating.] [L. erogatus, p. p. of erogare; e out +
   rogare to ask.]
   To lay out, as money; to deal out; to expend. [Obs.]
   [1913 Webster]