Finding the Fourth Proportional to 10,399.50, 15,589.98 and 3,824.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,399.50 : 15,589.98 = 3,824.10 : x
2. Step 2: Convert to fraction form
   10,399.50/15,589.98 = 3,824.10/x
3. Step 3: Cross multiply
   10,399.50x = 15,589.98 × 3,824.10
4. Step 4: Simplify right side
   10,399.50x = 59,617,642.52
5. Step 5: Solve for x
   x = 59,617,642.52/10,399.50
6. Step 6: Final answer
   x = 5,732.74