Finding the Fourth Proportional to 1,105.79, 1,658.81 and 456.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.79 : 1,658.81 = 456.71 : x
2. Step 2: Convert to fraction form
   1,105.79/1,658.81 = 456.71/x
3. Step 3: Cross multiply
   1,105.79x = 1,658.81 × 456.71
4. Step 4: Simplify right side
   1,105.79x = 757,587.96
5. Step 5: Solve for x
   x = 757,587.96/1,105.79
6. Step 6: Final answer
   x = 685.11