Praise be to Allah, and peace and blessings be upon the Messenger of Allah. To proceed:
We have not found any authentic hadith that mentions these matters with this specific detail and order. However, there are authentic hadiths indicating that the spread of immoral acts and adultery is one of the signs of the Hour.
The Prophet ﷺ said:
“Among the signs of the Hour are that knowledge will be taken away, ignorance will become widespread, alcohol will be consumed, and adultery will become prevalent.”
Narrated by al-Bukhari and Muslim.
It was also narrated that he ﷺ said:
“There will certainly be among my nation people who will regard as lawful illicit sexual relations, silk, alcohol, and musical instruments.”
Narrated by al-Bukhari. This indicates the spread of some prohibited things and people regarding them as lawful.
It is also mentioned in a hadith:
“The Hour will not be established until you have sexual intercourse with one another in the roads as donkeys have intercourse.”
Al-Albani authenticated this hadith. It indicates that immorality will reach an extreme degree and become widespread at the end of times.
Likewise, it was narrated from Ibn Abbas رضي الله عنهما that the Prophet ﷺ informed us that some people would follow the ways of those who came before them until they fall into severe forms of deviation and immoral acts, and al-Albani authenticated this report.
Therefore, it is appropriate for a Muslim to affirm what has been authentically established from the Prophet ﷺ and not attribute to him a hadith containing a particular sequence or details for which there is no authentic evidence.
When trials and immoral acts become widespread, the Muslim must hold firmly to his religion, stay away from prohibited acts, beware of the causes of temptation and corruption, and ask Allah for steadfastness and well-being.
We ask Allah to protect us from trials, both apparent and hidden.
And Allah تعالى knows best.