Finding the Fourth Proportional to 1,016.50, 1,402.30 and 596.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.50 : 1,402.30 = 596.72 : x
2. Step 2: Convert to fraction form
   1,016.50/1,402.30 = 596.72/x
3. Step 3: Cross multiply
   1,016.50x = 1,402.30 × 596.72
4. Step 4: Simplify right side
   1,016.50x = 836,775.98
5. Step 5: Solve for x
   x = 836,775.98/1,016.50
6. Step 6: Final answer
   x = 823.19