Finding the Fourth Proportional to 1,016.24, 1,402.16 and 596.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.24 : 1,402.16 = 596.43 : x
2. Step 2: Convert to fraction form
   1,016.24/1,402.16 = 596.43/x
3. Step 3: Cross multiply
   1,016.24x = 1,402.16 × 596.43
4. Step 4: Simplify right side
   1,016.24x = 836,287.31
5. Step 5: Solve for x
   x = 836,287.31/1,016.24
6. Step 6: Final answer
   x = 822.93