Finding the Fourth Proportional to 725.67, 1,086.89 and 709.47

Step by Step Solution

1. Step 1: Write the proportion equation
   725.67 : 1,086.89 = 709.47 : x
2. Step 2: Convert to fraction form
   725.67/1,086.89 = 709.47/x
3. Step 3: Cross multiply
   725.67x = 1,086.89 × 709.47
4. Step 4: Simplify right side
   725.67x = 771,112.30
5. Step 5: Solve for x
   x = 771,112.30/725.67
6. Step 6: Final answer
   x = 1,062.62