Finding the Fourth Proportional to 1,016.38, 1,401.33 and 829.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.38 : 1,401.33 = 829.68 : x
2. Step 2: Convert to fraction form
   1,016.38/1,401.33 = 829.68/x
3. Step 3: Cross multiply
   1,016.38x = 1,401.33 × 829.68
4. Step 4: Simplify right side
   1,016.38x = 1,162,655.47
5. Step 5: Solve for x
   x = 1,162,655.47/1,016.38
6. Step 6: Final answer
   x = 1,143.92