Finding the Fourth Proportional to 1,016.16, 1,401.92 and 596.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.16 : 1,401.92 = 596.53 : x
2. Step 2: Convert to fraction form
   1,016.16/1,401.92 = 596.53/x
3. Step 3: Cross multiply
   1,016.16x = 1,401.92 × 596.53
4. Step 4: Simplify right side
   1,016.16x = 836,283.27
5. Step 5: Solve for x
   x = 836,283.27/1,016.16
6. Step 6: Final answer
   x = 822.99