Finding the Fourth Proportional to 1,022.88, 1,411.59 and 557.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.88 : 1,411.59 = 557.13 : x
2. Step 2: Convert to fraction form
   1,022.88/1,411.59 = 557.13/x
3. Step 3: Cross multiply
   1,022.88x = 1,411.59 × 557.13
4. Step 4: Simplify right side
   1,022.88x = 786,439.14
5. Step 5: Solve for x
   x = 786,439.14/1,022.88
6. Step 6: Final answer
   x = 768.85