Finding the Fourth Proportional to 2,001.78, 3,002.04 and 831.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,001.78 : 3,002.04 = 831.42 : x
2. Step 2: Convert to fraction form
   2,001.78/3,002.04 = 831.42/x
3. Step 3: Cross multiply
   2,001.78x = 3,002.04 × 831.42
4. Step 4: Simplify right side
   2,001.78x = 2,495,956.10
5. Step 5: Solve for x
   x = 2,495,956.10/2,001.78
6. Step 6: Final answer
   x = 1,246.87