Finding the Fourth Proportional to 1,016.16, 1,402.29 and 596.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.16 : 1,402.29 = 596.40 : x
2. Step 2: Convert to fraction form
   1,016.16/1,402.29 = 596.40/x
3. Step 3: Cross multiply
   1,016.16x = 1,402.29 × 596.40
4. Step 4: Simplify right side
   1,016.16x = 836,325.76
5. Step 5: Solve for x
   x = 836,325.76/1,016.16
6. Step 6: Final answer
   x = 823.03