How do the dwarves know they are nearing the end of the journey?

In J.R.R. Tolkien's "The Hobbit," the dwarves realize they are nearing the end of their journey as they approach the Lonely Mountain, guided by the map and the hidden clues it contains. The presence of the mountain itself, along with the signs of their destination, such as the proximity to the desolate landscape of the surrounding area, reinforces their understanding. Additionally, the growing tension and anticipation among the group signal that they are close to reclaiming their homeland and confronting Smaug, the dragon.