The correct answer is option 4, Jamshedpur. The three integrated iron installations that come under the management of Steel Authority of India Limited (SAIL) are Bhilai, Durgapur, and Rourkela. Jamshedpur, on the other hand, is not managed by SAIL.

It is important to note that the Steel Authority of India Limited (SAIL) is a government-owned steel production company and is one of the largest steel producers in India. SAIL operates and manages various integrated iron installations across the country. These installations are responsible for the production of iron and steel through various processes like mining, smelting, and refining. The four options mentioned in the question are all cities where these integrated iron installations are located. Therefore, the only option that does not come under SAIL`s management is option 4, Jamshedpur.