Finding the Fourth Proportional to 1,073.69, 1,609.29 and 456.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,073.69 : 1,609.29 = 456.47 : x
2. Step 2: Convert to fraction form
   1,073.69/1,609.29 = 456.47/x
3. Step 3: Cross multiply
   1,073.69x = 1,609.29 × 456.47
4. Step 4: Simplify right side
   1,073.69x = 734,592.61
5. Step 5: Solve for x
   x = 734,592.61/1,073.69
6. Step 6: Final answer
   x = 684.18