Finding the Fourth Proportional to 10,067.69, 15,099.24 and 3,828.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,067.69 : 15,099.24 = 3,828.40 : x
2. Step 2: Convert to fraction form
   10,067.69/15,099.24 = 3,828.40/x
3. Step 3: Cross multiply
   10,067.69x = 15,099.24 × 3,828.40
4. Step 4: Simplify right side
   10,067.69x = 57,805,930.42
5. Step 5: Solve for x
   x = 57,805,930.42/10,067.69
6. Step 6: Final answer
   x = 5,741.73