Finding the Fourth Proportional to 1,460.74, 2,016.00 and 831.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.74 : 2,016.00 = 831.42 : x
2. Step 2: Convert to fraction form
   1,460.74/2,016.00 = 831.42/x
3. Step 3: Cross multiply
   1,460.74x = 2,016.00 × 831.42
4. Step 4: Simplify right side
   1,460.74x = 1,676,141.16
5. Step 5: Solve for x
   x = 1,676,141.16/1,460.74
6. Step 6: Final answer
   x = 1,147.46