Finding the Fourth Proportional to 1,016.56, 1,402.38 and 596.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.56 : 1,402.38 = 596.92 : x
2. Step 2: Convert to fraction form
   1,016.56/1,402.38 = 596.92/x
3. Step 3: Cross multiply
   1,016.56x = 1,402.38 × 596.92
4. Step 4: Simplify right side
   1,016.56x = 837,108.67
5. Step 5: Solve for x
   x = 837,108.67/1,016.56
6. Step 6: Final answer
   x = 823.47