Finding the Fourth Proportional to 1,016.41, 1,402.27 and 596.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.41 : 1,402.27 = 596.78 : x
2. Step 2: Convert to fraction form
   1,016.41/1,402.27 = 596.78/x
3. Step 3: Cross multiply
   1,016.41x = 1,402.27 × 596.78
4. Step 4: Simplify right side
   1,016.41x = 836,840.20
5. Step 5: Solve for x
   x = 836,840.20/1,016.41
6. Step 6: Final answer
   x = 823.33