Finding the Fourth Proportional to 1,461.15, 2,016.30 and 831.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.15 : 2,016.30 = 831.59 : x
2. Step 2: Convert to fraction form
   1,461.15/2,016.30 = 831.59/x
3. Step 3: Cross multiply
   1,461.15x = 2,016.30 × 831.59
4. Step 4: Simplify right side
   1,461.15x = 1,676,734.92
5. Step 5: Solve for x
   x = 1,676,734.92/1,461.15
6. Step 6: Final answer
   x = 1,147.54