Finding the Fourth Proportional to 1,022.52, 1,411.48 and 649.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.52 : 1,411.48 = 649.71 : x
2. Step 2: Convert to fraction form
   1,022.52/1,411.48 = 649.71/x
3. Step 3: Cross multiply
   1,022.52x = 1,411.48 × 649.71
4. Step 4: Simplify right side
   1,022.52x = 917,045.61
5. Step 5: Solve for x
   x = 917,045.61/1,022.52
6. Step 6: Final answer
   x = 896.85