Finding the Fourth Proportional to 1,105.55, 1,658.92 and 456.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.55 : 1,658.92 = 456.13 : x
2. Step 2: Convert to fraction form
   1,105.55/1,658.92 = 456.13/x
3. Step 3: Cross multiply
   1,105.55x = 1,658.92 × 456.13
4. Step 4: Simplify right side
   1,105.55x = 756,674.89
5. Step 5: Solve for x
   x = 756,674.89/1,105.55
6. Step 6: Final answer
   x = 684.44