Finding the Fourth Proportional to 1,023.05, 1,411.83 and 557.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.05 : 1,411.83 = 557.30 : x
2. Step 2: Convert to fraction form
   1,023.05/1,411.83 = 557.30/x
3. Step 3: Cross multiply
   1,023.05x = 1,411.83 × 557.30
4. Step 4: Simplify right side
   1,023.05x = 786,816.39
5. Step 5: Solve for x
   x = 786,816.39/1,023.05
6. Step 6: Final answer
   x = 769.09