Finding the Fourth Proportional to 1,105.47, 1,658.21 and 557.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.47 : 1,658.21 = 557.10 : x
2. Step 2: Convert to fraction form
   1,105.47/1,658.21 = 557.10/x
3. Step 3: Cross multiply
   1,105.47x = 1,658.21 × 557.10
4. Step 4: Simplify right side
   1,105.47x = 923,786.01
5. Step 5: Solve for x
   x = 923,786.01/1,105.47
6. Step 6: Final answer
   x = 835.65