Finding the Fourth Proportional to 1,016.34, 1,402.45 and 596.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.34 : 1,402.45 = 596.71 : x
2. Step 2: Convert to fraction form
   1,016.34/1,402.45 = 596.71/x
3. Step 3: Cross multiply
   1,016.34x = 1,402.45 × 596.71
4. Step 4: Simplify right side
   1,016.34x = 836,855.94
5. Step 5: Solve for x
   x = 836,855.94/1,016.34
6. Step 6: Final answer
   x = 823.40