Finding the Fourth Proportional to 1,105.43, 1,659.15 and 456.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.43 : 1,659.15 = 456.62 : x
2. Step 2: Convert to fraction form
   1,105.43/1,659.15 = 456.62/x
3. Step 3: Cross multiply
   1,105.43x = 1,659.15 × 456.62
4. Step 4: Simplify right side
   1,105.43x = 757,592.78
5. Step 5: Solve for x
   x = 757,592.78/1,105.43
6. Step 6: Final answer
   x = 685.34