Finding the Fourth Proportional to 1,016.50, 1,402.79 and 596.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.50 : 1,402.79 = 596.86 : x
2. Step 2: Convert to fraction form
   1,016.50/1,402.79 = 596.86/x
3. Step 3: Cross multiply
   1,016.50x = 1,402.79 × 596.86
4. Step 4: Simplify right side
   1,016.50x = 837,266.69
5. Step 5: Solve for x
   x = 837,266.69/1,016.50
6. Step 6: Final answer
   x = 823.68