Finding the Fourth Proportional to 1,016.25, 1,402.43 and 596.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.25 : 1,402.43 = 596.61 : x
2. Step 2: Convert to fraction form
   1,016.25/1,402.43 = 596.61/x
3. Step 3: Cross multiply
   1,016.25x = 1,402.43 × 596.61
4. Step 4: Simplify right side
   1,016.25x = 836,703.76
5. Step 5: Solve for x
   x = 836,703.76/1,016.25
6. Step 6: Final answer
   x = 823.32