Finding the Fourth Proportional to 2,831.64, 4,238.82 and 2,099.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,831.64 : 4,238.82 = 2,099.40 : x
2. Step 2: Convert to fraction form
   2,831.64/4,238.82 = 2,099.40/x
3. Step 3: Cross multiply
   2,831.64x = 4,238.82 × 2,099.40
4. Step 4: Simplify right side
   2,831.64x = 8,898,978.71
5. Step 5: Solve for x
   x = 8,898,978.71/2,831.64
6. Step 6: Final answer
   x = 3,142.69