Jitu scored 580, including 22 10s, after posting rounds of 96, 96, 98, 96, 96, 98.
However, another Indian shooter in the fray, Gurpreet Singh, finished 20th to miss the finals berth with a score of 576.
Chinese Pang Wei topped the qualifying stage with a score of 590 with 27 10s, while South Korean Jin Jongoh finished second with a score of 584 with 24 10s.
Slovakian Juraj Tuzinsky claimed the third spot with a score of 582 with 23 10s.
The finals will take place later in the day.