Finding the Fourth Proportional to 1,016.55, 1,402.67 and 596.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.55 : 1,402.67 = 596.81 : x
2. Step 2: Convert to fraction form
   1,016.55/1,402.67 = 596.81/x
3. Step 3: Cross multiply
   1,016.55x = 1,402.67 × 596.81
4. Step 4: Simplify right side
   1,016.55x = 837,132.48
5. Step 5: Solve for x
   x = 837,132.48/1,016.55
6. Step 6: Final answer
   x = 823.50