Finding the Fourth Proportional to 12,142.71, 18,216.63 and 3,825.09

Step by Step Solution

1. Step 1: Write the proportion equation
   12,142.71 : 18,216.63 = 3,825.09 : x
2. Step 2: Convert to fraction form
   12,142.71/18,216.63 = 3,825.09/x
3. Step 3: Cross multiply
   12,142.71x = 18,216.63 × 3,825.09
4. Step 4: Simplify right side
   12,142.71x = 69,680,249.25
5. Step 5: Solve for x
   x = 69,680,249.25/12,142.71
6. Step 6: Final answer
   x = 5,738.44