Finding the Fourth Proportional to 10,494.61, 15,736.91 and 3,826.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,494.61 : 15,736.91 = 3,826.38 : x
2. Step 2: Convert to fraction form
   10,494.61/15,736.91 = 3,826.38/x
3. Step 3: Cross multiply
   10,494.61x = 15,736.91 × 3,826.38
4. Step 4: Simplify right side
   10,494.61x = 60,215,397.69
5. Step 5: Solve for x
   x = 60,215,397.69/10,494.61
6. Step 6: Final answer
   x = 5,737.75