Finding the Fourth Proportional to 8,227.24, 12,342.71 and 3,842.30

Step by Step Solution

1. Step 1: Write the proportion equation
   8,227.24 : 12,342.71 = 3,842.30 : x
2. Step 2: Convert to fraction form
   8,227.24/12,342.71 = 3,842.30/x
3. Step 3: Cross multiply
   8,227.24x = 12,342.71 × 3,842.30
4. Step 4: Simplify right side
   8,227.24x = 47,424,435.10
5. Step 5: Solve for x
   x = 47,424,435.10/8,227.24
6. Step 6: Final answer
   x = 5,764.32