Finding the Fourth Proportional to 1,073.32, 1,609.98 and 456.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,073.32 : 1,609.98 = 456.86 : x
2. Step 2: Convert to fraction form
   1,073.32/1,609.98 = 456.86/x
3. Step 3: Cross multiply
   1,073.32x = 1,609.98 × 456.86
4. Step 4: Simplify right side
   1,073.32x = 735,528.72
5. Step 5: Solve for x
   x = 735,528.72/1,073.32
6. Step 6: Final answer
   x = 685.29