Finding the Fourth Proportional to 6,815.60, 9,405.63 and 3,831.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,815.60 : 9,405.63 = 3,831.42 : x
2. Step 2: Convert to fraction form
   6,815.60/9,405.63 = 3,831.42/x
3. Step 3: Cross multiply
   6,815.60x = 9,405.63 × 3,831.42
4. Step 4: Simplify right side
   6,815.60x = 36,036,918.89
5. Step 5: Solve for x
   x = 36,036,918.89/6,815.60
6. Step 6: Final answer
   x = 5,287.42