Finding the Fourth Proportional to 1,460.83, 2,016.11 and 831.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.83 : 2,016.11 = 831.46 : x
2. Step 2: Convert to fraction form
   1,460.83/2,016.11 = 831.46/x
3. Step 3: Cross multiply
   1,460.83x = 2,016.11 × 831.46
4. Step 4: Simplify right side
   1,460.83x = 1,676,304.74
5. Step 5: Solve for x
   x = 1,676,304.74/1,460.83
6. Step 6: Final answer
   x = 1,147.51