Finding the Fourth Proportional to 3,838.09, 5,297.85 and 2,578.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,838.09 : 5,297.85 = 2,578.72 : x
2. Step 2: Convert to fraction form
   3,838.09/5,297.85 = 2,578.72/x
3. Step 3: Cross multiply
   3,838.09x = 5,297.85 × 2,578.72
4. Step 4: Simplify right side
   3,838.09x = 13,661,671.75
5. Step 5: Solve for x
   x = 13,661,671.75/3,838.09
6. Step 6: Final answer
   x = 3,559.50