Kalki Avatar

In Kali-yuga (the yuga we have now been experiencing over the past 5,000 years) there is an abundance of strife, ignorance, irreligion and vice, true virtue being practically nonexistent, and this yuga lasts 432,000 years. In Kali-yuga vice increases to such a point that at the termination of the yuga the Supreme Lord Himself appears as the Kalki avatara, vanquishes the demons, saves His devotees, and commences another Satya-yuga. Then the process is set rolling again. These four yugas, rotating a thousand times, comprise one day of Brahmä, and the same number comprise one night. Brahmä lives one hundred of such “years” and then dies. These “hundred years” by earth calculations total to 311 trillion and 40 billion earth years.

TRANSLATION

 
Thereafter, at the conjunction of two yugas, the Lord of the creation will take His birth as the Kalki incarnation and become the son of Vishnu yasa. At this time the rulers of the earth will have degenerated into plunderers.  SB 1.3.25

He is to appear at the conjunction of the two yugas, namely at the end of Kali-yuga and the beginning of Satya-yuga.The cycle of the four yugas, namely Satya, Treta, Dvapara and Kali, rotates like the calendar months. The present Kali-yuga lasts 432,000 years, out of which we have passed only 5,000 years after the Battle of Kuruksetra and the end of the regime of King Pariksit. So there are 427,000 years balance yet to be finished. Therefore at the end of this period, the incarnation of Kalki will take place, as foretold in the Srimad-Bhagavatam. Kalki will appear in the city Sambhala, it is also mentioned. As above mentioned, all these foretellings will prove to be factual in chronological order.