Finding the Fourth Proportional to 2,578.80, 3,859.56 and 2,544.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.80 : 3,859.56 = 2,544.24 : x
2. Step 2: Convert to fraction form
   2,578.80/3,859.56 = 2,544.24/x
3. Step 3: Cross multiply
   2,578.80x = 3,859.56 × 2,544.24
4. Step 4: Simplify right side
   2,578.80x = 9,819,646.93
5. Step 5: Solve for x
   x = 9,819,646.93/2,578.80
6. Step 6: Final answer
   x = 3,807.84