Finding the Fourth Proportional to 2,831.34, 3,909.06 and 1,823.49

Step by Step Solution

1. Step 1: Write the proportion equation
   2,831.34 : 3,909.06 = 1,823.49 : x
2. Step 2: Convert to fraction form
   2,831.34/3,909.06 = 1,823.49/x
3. Step 3: Cross multiply
   2,831.34x = 3,909.06 × 1,823.49
4. Step 4: Simplify right side
   2,831.34x = 7,128,112.27
5. Step 5: Solve for x
   x = 7,128,112.27/2,831.34
6. Step 6: Final answer
   x = 2,517.58