Well, the Hijri date 13 Muharram 1174 corresponds to the Gregorian date Sunday, 24 August 1760. This date lies in the first month of the Hijri year 1174 AH, which is Muharram of 1174 AH. Both this Hijri and Gregorian date occur on the single day that is Sunday without any doubt. The Arabic date 1174/01/13 is calculated using the Umm Al-Qura calendar and the sighting of the moon. One thing to remember is that this Arabic date may occur on different Gregorian date depending upon the region and country and obviously the moon.
If you are still not sure about the date then you can use our Arabic date converter.
The following is the conversion of the Gregorian date 24 August 1760 to its equivalent Arabic date.
The following is the conversion of the Arabic date 13 Muharram 1174 AH to its equivalent Gregorian date.
أَمْ لَهُمْ سُلَّمٌۭ يَسْتَمِعُونَ فِيهِ ۖ فَلْيَأْتِ مُسْتَمِعُهُم بِسُلْطَٰنٍۢ مُّبِينٍ
Or have they any stairway (unto heaven) by means of which they overhear (decrees). Then let their listener produce some warrant manifest!
Surah At-Tur(52:38)