Finding the Fourth Proportional to 724.59, 1,005.82 and 707.31

Step by Step Solution

1. Step 1: Write the proportion equation
   724.59 : 1,005.82 = 707.31 : x
2. Step 2: Convert to fraction form
   724.59/1,005.82 = 707.31/x
3. Step 3: Cross multiply
   724.59x = 1,005.82 × 707.31
4. Step 4: Simplify right side
   724.59x = 711,424.78
5. Step 5: Solve for x
   x = 711,424.78/724.59
6. Step 6: Final answer
   x = 981.83