Finding the Fourth Proportional to 2,625.54, 3,938.22 and 776.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,625.54 : 3,938.22 = 776.58 : x
2. Step 2: Convert to fraction form
   2,625.54/3,938.22 = 776.58/x
3. Step 3: Cross multiply
   2,625.54x = 3,938.22 × 776.58
4. Step 4: Simplify right side
   2,625.54x = 3,058,342.89
5. Step 5: Solve for x
   x = 3,058,342.89/2,625.54
6. Step 6: Final answer
   x = 1,164.84