Finding the Fourth Proportional to 10,414.15, 15,622.70 and 3,839.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.15 : 15,622.70 = 3,839.82 : x
2. Step 2: Convert to fraction form
   10,414.15/15,622.70 = 3,839.82/x
3. Step 3: Cross multiply
   10,414.15x = 15,622.70 × 3,839.82
4. Step 4: Simplify right side
   10,414.15x = 59,988,402.01
5. Step 5: Solve for x
   x = 59,988,402.01/10,414.15
6. Step 6: Final answer
   x = 5,760.28