In plain words
The vānaras had never before seen Sītā. So as she walked slowly toward Rāma's presence, they leapt one on top of another to see her and bowed to her; they raised cries of victory in their joy. But when Rāma said that Sītā could not be brought to his side just now and that she must be put through the ordeal by fire, the vānaras were crushed. At Rāma's command they brought wood, built a pyre and set it alight. Sītā walked around it: “O Fire-god! If in thought, word and deed I have held no one but Śrī Rāma in my mind, may you be cool to me,” she said, and leapt into it. At once the Fire-god appeared: “Rāmacandra! Sītā is a wife of great fidelity. Knowing everything, could you not see Sītā's mind?” he said. Then Rāma: “Not that I did not know. But I am answerable to the world. I did this to prove her purity to the world. That is my duty,” he said. Everyone raised cries of victory in an overflow of joy. Rāma went up to Sītā, who stood with her head bowed, took her by the hand and brought her.
Seated in Kubera's aerial chariot, the Puṣpaka, Sītā, Rāma and Lakṣmaṇa, Vibhīṣaṇa, and the vānara heroes Sugrīva, Hanumān and the rest all together reached Ayodhyā. Bharata seated Sītā and Rāma in a chariot and, driving it himself, brought them with a welcome to the royal palace. All along the way the people of Ayodhyā began to put garlands on Bharata. For, from spending fourteen years in unbroken thought of Rāma, he looked like Rāma. “As the feeling, so the being.” Then Bharata rose and pointed: “Rāma is here,” and the people put garlands on Rāma. Singing “Rāmā, Kodaṇḍa Rāmā ...” and dancing, they welcomed him. Rāma's coronation was held in the greatest splendour.