Finding the Fourth Proportional to 3,892.59, 5,831.33 and 3,456.27

Step by Step Solution

1. Step 1: Write the proportion equation
   3,892.59 : 5,831.33 = 3,456.27 : x
2. Step 2: Convert to fraction form
   3,892.59/5,831.33 = 3,456.27/x
3. Step 3: Cross multiply
   3,892.59x = 5,831.33 × 3,456.27
4. Step 4: Simplify right side
   3,892.59x = 20,154,633.66
5. Step 5: Solve for x
   x = 20,154,633.66/3,892.59
6. Step 6: Final answer
   x = 5,177.69