Finding the Fourth Proportional to 10,419.42, 15,635.22 and 3,850.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.42 : 15,635.22 = 3,850.20 : x
2. Step 2: Convert to fraction form
   10,419.42/15,635.22 = 3,850.20/x
3. Step 3: Cross multiply
   10,419.42x = 15,635.22 × 3,850.20
4. Step 4: Simplify right side
   10,419.42x = 60,198,724.04
5. Step 5: Solve for x
   x = 60,198,724.04/10,419.42
6. Step 6: Final answer
   x = 5,777.55