India 296 (Rahane 89, Shardul 51, Cummins 3-83) and 164 for 3 (Kohli 44*, Rohit 43) need another 280 runs to beat Australia 469 (Head 163, Smith 121, Siraj 4-108) and 270 for 8 dec (Carey 66, Labuschagne 41, Starc 41, Jadeja 3-58, Shami 2-39, Umesh 2-54)
London: Australia are on course to be crowned world Test champions but must find a way past India's Virat Kohli if they are to win the final at The Oval.
Set a world record 444 to win, India reached 164-3 at the close on day four, with Kohli in imperious touch for his 44 not out and Ajinkya Rahane unbeaten on 20.
India earlier slipped to 91-3 after Cameron Green was controversially adjudged to have caught Shubman Gill and a stand of 51 between Rohit Sharma and Cheteshwar Pujara ended with both falling for the addition of one run.
On a glorious evening, with India's passionate fans delighting at every addition to the scoreboard, Australia ended needing seven more wickets, India another 280 runs.
Australia earlier declared their second innings on 270-8 an hour after lunch, with wicketkeeper Alex Carey 66 not out.
There is a reserve day scheduled for Monday if time is lost to bad weather, but the forecast for Sunday suggests there will be ample time to determine the second world Test champions, after New Zealand two years ago.
If there is no time lost and the game is drawn on the fifth day, Australia and India will share the title.