Finding the Fourth Proportional to 1,023.07, 1,411.83 and 557.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.07 : 1,411.83 = 557.32 : x
2. Step 2: Convert to fraction form
   1,023.07/1,411.83 = 557.32/x
3. Step 3: Cross multiply
   1,023.07x = 1,411.83 × 557.32
4. Step 4: Simplify right side
   1,023.07x = 786,841.10
5. Step 5: Solve for x
   x = 786,841.10/1,023.07
6. Step 6: Final answer
   x = 769.10