Finding the Fourth Proportional to 1,106.43, 1,659.59 and 456.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,106.43 : 1,659.59 = 456.71 : x
2. Step 2: Convert to fraction form
   1,106.43/1,659.59 = 456.71/x
3. Step 3: Cross multiply
   1,106.43x = 1,659.59 × 456.71
4. Step 4: Simplify right side
   1,106.43x = 757,942.48
5. Step 5: Solve for x
   x = 757,942.48/1,106.43
6. Step 6: Final answer
   x = 685.04