Finding the Fourth Proportional to 2,625.72, 3,938.01 and 776.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,625.72 : 3,938.01 = 776.52 : x
2. Step 2: Convert to fraction form
   2,625.72/3,938.01 = 776.52/x
3. Step 3: Cross multiply
   2,625.72x = 3,938.01 × 776.52
4. Step 4: Simplify right side
   2,625.72x = 3,057,943.53
5. Step 5: Solve for x
   x = 3,057,943.53/2,625.72
6. Step 6: Final answer
   x = 1,164.61