Finding the Fourth Proportional to 1,016.34, 1,402.31 and 596.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.34 : 1,402.31 = 596.67 : x
2. Step 2: Convert to fraction form
   1,016.34/1,402.31 = 596.67/x
3. Step 3: Cross multiply
   1,016.34x = 1,402.31 × 596.67
4. Step 4: Simplify right side
   1,016.34x = 836,717.80
5. Step 5: Solve for x
   x = 836,717.80/1,016.34
6. Step 6: Final answer
   x = 823.27