Describe the sequence of events that led to Dixit Kaka meeting Madhavrao in Nagar.

The meeting between Dixit and Madhavrao was a result of a series of fortunate coincidences described in Chapter 51. While Dixit sat worried, Madhavrao arrived in Nagar due to an urgent telegram. As Madhavrao stepped out of his carriage, Nanasahib Panshe and Appasahib Gadre happened to pass by. Recognizing Madhavrao as the priest of Shirdi, they exclaimed that he was the perfect person to take Dixit to Shirdi. They promptly informed Madhavrao about Dixit's eagerness and sent him to Mirikar's house. This led to their first meeting, where Balasaheb introduced them, and they finalized a plan to travel together on the ten o'clock night train, relieving Dixit of his worries.