Finding the Fourth Proportional to 2,578.05, 3,868.83 and 2,424.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.05 : 3,868.83 = 2,424.42 : x
2. Step 2: Convert to fraction form
   2,578.05/3,868.83 = 2,424.42/x
3. Step 3: Cross multiply
   2,578.05x = 3,868.83 × 2,424.42
4. Step 4: Simplify right side
   2,578.05x = 9,379,668.83
5. Step 5: Solve for x
   x = 9,379,668.83/2,578.05
6. Step 6: Final answer
   x = 3,638.28