Finding the Fourth Proportional to 1,105.17, 1,658.03 and 456.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.17 : 1,658.03 = 456.09 : x
2. Step 2: Convert to fraction form
   1,105.17/1,658.03 = 456.09/x
3. Step 3: Cross multiply
   1,105.17x = 1,658.03 × 456.09
4. Step 4: Simplify right side
   1,105.17x = 756,210.90
5. Step 5: Solve for x
   x = 756,210.90/1,105.17
6. Step 6: Final answer
   x = 684.25