Finding the Fourth Proportional to 10,414.62, 15,628.41 and 3,842.28

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.62 : 15,628.41 = 3,842.28 : x
2. Step 2: Convert to fraction form
   10,414.62/15,628.41 = 3,842.28/x
3. Step 3: Cross multiply
   10,414.62x = 15,628.41 × 3,842.28
4. Step 4: Simplify right side
   10,414.62x = 60,048,727.17
5. Step 5: Solve for x
   x = 60,048,727.17/10,414.62
6. Step 6: Final answer
   x = 5,765.81