Finding the Fourth Proportional to 10,414.86, 15,608.87 and 3,833.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.86 : 15,608.87 = 3,833.25 : x
2. Step 2: Convert to fraction form
   10,414.86/15,608.87 = 3,833.25/x
3. Step 3: Cross multiply
   10,414.86x = 15,608.87 × 3,833.25
4. Step 4: Simplify right side
   10,414.86x = 59,832,700.93
5. Step 5: Solve for x
   x = 59,832,700.93/10,414.86
6. Step 6: Final answer
   x = 5,744.94