Finding the Fourth Proportional to 1,016.17, 1,402.35 and 596.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.17 : 1,402.35 = 596.83 : x
2. Step 2: Convert to fraction form
   1,016.17/1,402.35 = 596.83/x
3. Step 3: Cross multiply
   1,016.17x = 1,402.35 × 596.83
4. Step 4: Simplify right side
   1,016.17x = 836,964.55
5. Step 5: Solve for x
   x = 836,964.55/1,016.17
6. Step 6: Final answer
   x = 823.65