Finding the Fourth Proportional to 1,105.71, 1,658.84 and 456.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.71 : 1,658.84 = 456.27 : x
2. Step 2: Convert to fraction form
   1,105.71/1,658.84 = 456.27/x
3. Step 3: Cross multiply
   1,105.71x = 1,658.84 × 456.27
4. Step 4: Simplify right side
   1,105.71x = 756,876.65
5. Step 5: Solve for x
   x = 756,876.65/1,105.71
6. Step 6: Final answer
   x = 684.52