Finding the Fourth Proportional to 1,022.89, 1,411.56 and 557.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.89 : 1,411.56 = 557.14 : x
2. Step 2: Convert to fraction form
   1,022.89/1,411.56 = 557.14/x
3. Step 3: Cross multiply
   1,022.89x = 1,411.56 × 557.14
4. Step 4: Simplify right side
   1,022.89x = 786,436.54
5. Step 5: Solve for x
   x = 786,436.54/1,022.89
6. Step 6: Final answer
   x = 768.84