Finding the Fourth Proportional to 1,460.78, 2,015.79 and 831.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.78 : 2,015.79 = 831.23 : x
2. Step 2: Convert to fraction form
   1,460.78/2,015.79 = 831.23/x
3. Step 3: Cross multiply
   1,460.78x = 2,015.79 × 831.23
4. Step 4: Simplify right side
   1,460.78x = 1,675,575.04
5. Step 5: Solve for x
   x = 1,675,575.04/1,460.78
6. Step 6: Final answer
   x = 1,147.05