** Shares of Australia's ActivePort Group fall as much as 51% to an all-time low of A$0.024
** Software firm announces undertaking a 3-for-4 renounceable rights issue to raise A$5.3 mln ($3.56 mln) at an issue price of A$0.02 per share
** Issue price at a discount of 59.2% to stock's last closing
** Funds raised will be used to advance new software projects, others - co
** Stock had fallen 76.5% this year by 2343 GMT
($1 = 1.4892 Australian dollars)
(Reporting by Roshan Thomas in Bengaluru)
((Roshan.Thomas@thomsonreuters.com))