Finding the Fourth Proportional to 10,414.92, 15,622.56 and 3,837.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.92 : 15,622.56 = 3,837.72 : x
2. Step 2: Convert to fraction form
   10,414.92/15,622.56 = 3,837.72/x
3. Step 3: Cross multiply
   10,414.92x = 15,622.56 × 3,837.72
4. Step 4: Simplify right side
   10,414.92x = 59,955,010.96
5. Step 5: Solve for x
   x = 59,955,010.96/10,414.92
6. Step 6: Final answer
   x = 5,756.65