Finding the Fourth Proportional to 3,838.88, 5,769.29 and 3,578.87

Step by Step Solution

1. Step 1: Write the proportion equation
   3,838.88 : 5,769.29 = 3,578.87 : x
2. Step 2: Convert to fraction form
   3,838.88/5,769.29 = 3,578.87/x
3. Step 3: Cross multiply
   3,838.88x = 5,769.29 × 3,578.87
4. Step 4: Simplify right side
   3,838.88x = 20,647,562.27
5. Step 5: Solve for x
   x = 20,647,562.27/3,838.88
6. Step 6: Final answer
   x = 5,378.53