Finding the Fourth Proportional to 1,105.80, 1,658.70 and 456.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.80 : 1,658.70 = 456.18 : x
2. Step 2: Convert to fraction form
   1,105.80/1,658.70 = 456.18/x
3. Step 3: Cross multiply
   1,105.80x = 1,658.70 × 456.18
4. Step 4: Simplify right side
   1,105.80x = 756,665.77
5. Step 5: Solve for x
   x = 756,665.77/1,105.80
6. Step 6: Final answer
   x = 684.27