Finding the Fourth Proportional to 10,399.42, 15,591.84 and 3,824.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,399.42 : 15,591.84 = 3,824.74 : x
2. Step 2: Convert to fraction form
   10,399.42/15,591.84 = 3,824.74/x
3. Step 3: Cross multiply
   10,399.42x = 15,591.84 × 3,824.74
4. Step 4: Simplify right side
   10,399.42x = 59,634,734.12
5. Step 5: Solve for x
   x = 59,634,734.12/10,399.42
6. Step 6: Final answer
   x = 5,734.43