Finding the Fourth Proportional to 1,029.52, 1,420.72 and 557.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,029.52 : 1,420.72 = 557.41 : x
2. Step 2: Convert to fraction form
   1,029.52/1,420.72 = 557.41/x
3. Step 3: Cross multiply
   1,029.52x = 1,420.72 × 557.41
4. Step 4: Simplify right side
   1,029.52x = 791,916.43
5. Step 5: Solve for x
   x = 791,916.43/1,029.52
6. Step 6: Final answer
   x = 769.21