Finding the Fourth Proportional to 1,460.97, 2,016.05 and 831.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.97 : 2,016.05 = 831.47 : x
2. Step 2: Convert to fraction form
   1,460.97/2,016.05 = 831.47/x
3. Step 3: Cross multiply
   1,460.97x = 2,016.05 × 831.47
4. Step 4: Simplify right side
   1,460.97x = 1,676,270.86
5. Step 5: Solve for x
   x = 1,676,270.86/1,460.97
6. Step 6: Final answer
   x = 1,147.37