The correct chronological order of the given events is as follows:

I. Quit India Movement
II. Shimla Conference
III. Poona Pact
IV. Cabinet Mission

Let's understand the events in detail and their correct order:

I. Quit India Movement:
The Quit India Movement, also known as the August Movement, was a civil disobedience movement launched by Mahatma Gandhi on 8th August 1942. It was a call to the British to quit India and grant the country independence. The movement saw mass protests, strikes, and demonstrations across the country. The British responded with a heavy-handed crackdown, arresting thousands of Indian leaders and activists. This movement played a crucial role in India's struggle for independence.

II. Shimla Conference:
The Shimla Conference was held in June 1945. It was a meeting between the Indian National Congress and the Muslim League to discuss the future of India. The conference was attended by Jawaharlal Nehru, Maulana Abul Kalam Azad, and other Congress leaders, as well as Muhammad Ali Jinnah and other Muslim League leaders. The conference failed to reach a consensus on the issue of a united or divided India, leading to further political tensions.

III. Poona Pact:
The Poona Pact was an agreement signed on 24th September 1932 between Dr. B.R. Ambedkar, representing the Dalit community, and Madan Mohan Malaviya, representing the upper-caste Hindus. It was a result of the Communal Award announced by the British government, which provided separate electorates for Dalits. The Poona Pact modified the award and reserved seats for Dalits within the general electorate, ensuring their representation without the need for separate electorates.

IV. Cabinet Mission:
The Cabinet Mission was a mission sent by the British government to India in 1946 to propose a plan for the transfer of power and the formation of a united Indian government. The mission was led by three British Cabinet ministers - Lord Pethick-Lawrence, Sir Stafford Cripps, and A.V. Alexander. The mission proposed a framework for a federal system in India and held discussions with Indian leaders from the Congress, Muslim League, and other parties. However, the mission's plan was not accepted by all parties and ultimately led to the partition of India and the creation of Pakistan.

Based on the above explanations, the correct chronological order of the events is III, I, II, IV, which corresponds to option 'c'.