How to convert a non-integer number from decimal to hexadecimal?

Question

Number systems

The number given is 1876.54625 . The answer should be 754.8BD7 .
I understand how the numbers were translated before the decimal point, but how were the numbers after the decimal point translated? Prompt, please, algorithm. Thank you for your attention!
PS. in the text of the task it says "Answer give an accuracy of 4 decimal places", so there are only 4 decimal places.

Answer 1

0.54625 multiply by 16^ 4 , convert from decimal to hexadecimal and shift the decimal point by 4 places . Those. by how much they multiplied, by the same amount they divided by a comma shift.

Answer 2

1876 ​​= 754
0.54625 = 0.8BD7