Finding the Fourth Proportional to 1,024.46, 1,414.24 and 772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,024.46 : 1,414.24 = 772.50 : x
2. Step 2: Convert to fraction form
   1,024.46/1,414.24 = 772.50/x
3. Step 3: Cross multiply
   1,024.46x = 1,414.24 × 772.50
4. Step 4: Simplify right side
   1,024.46x = 1,092,496.18
5. Step 5: Solve for x
   x = 1,092,496.18/1,024.46
6. Step 6: Final answer
   x = 1,066.41