Finding the Fourth Proportional to 1,105.46, 1,658.31 and 456.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.46 : 1,658.31 = 456.38 : x
2. Step 2: Convert to fraction form
   1,105.46/1,658.31 = 456.38/x
3. Step 3: Cross multiply
   1,105.46x = 1,658.31 × 456.38
4. Step 4: Simplify right side
   1,105.46x = 756,819.52
5. Step 5: Solve for x
   x = 756,819.52/1,105.46
6. Step 6: Final answer
   x = 684.62