Finding the Fourth Proportional to 1,025.72, 1,537.50 and 477.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.72 : 1,537.50 = 477.45 : x
2. Step 2: Convert to fraction form
   1,025.72/1,537.50 = 477.45/x
3. Step 3: Cross multiply
   1,025.72x = 1,537.50 × 477.45
4. Step 4: Simplify right side
   1,025.72x = 734,081.17
5. Step 5: Solve for x
   x = 734,081.17/1,025.72
6. Step 6: Final answer
   x = 715.67