Murali Vijay's low catch was given out by the on field umpire and the decision overturned by the third umpire.
David Warner scored 56 in the first innings and six in the second and has struggled against R Ashwin and Ravindra Jadeja.
Ravindra Jadeja had a funny explanation about his banter with Australia's Matthew Wade in the visitors' second innings.
Umesh Yadav finishes the four-match series with 17 wickets at an average of 23.41, His previous best was 14 wickets, also against Australia.
Ravindra Jadeja scored a fifty and picked up three wickets in the second innings to put India in command against Australia.
India were on the verge of a riveting series win after an incisive performance from the bowlers saw them skittle out Australia for a paltry 137.
Controversy came midway through the day, soon after the ball had begun to reverse swing.
India 87 runs away from reclaiming Border-Gavaskar Trophy after bowlers rattle Australia in second innings.
Kolkata Knight Riders ditch their old colours for the tenth edition of the Indian Premier League starting on April 5, 2017.
All-rounder Ravindra Jadeja scored a fifty and then picked up three wickets to help in taking the game away from the visitors.
Australia set India a target of 106 runs in the fourth and final Test of the series in Dharamsala.
Matthew Wade was having an argument with Ravindra Jadeja, who seemed equally involved before another player pulled him aside.
Ajinkya Rahane, standing at first slip, took a stunner to dismiss Australian batsman Peter Handscomb.
Making most of conditions, seamers, from both sides, are enjoying using the short deliveries in Dharamsala.
Bhuvneshwar Kumar removed Australian captain Steve Smith for 17 to reduce Australia to 31/3 in the second innings of the fourth Test match.
The third day of the fourth Test match experienced a technical error when the two teams were informed that the DRS wasn't available.
Ravindra Jadeja and Matthew Wade exchanged words as the former frustrated Australia with his 63-run innings.
India manage a slender lead of 32 runs in first innings despite 63-run innings from Ravindra Jadeja.
Kane Williamson Williamson worked the ball to all parts of the ground including a six off Keshav Maharaj over the bowler's head.
Shaun Tait has represented Australia in all three formats, playing three Tests, 35 ODIs and 21 T20I.