Finding the Fourth Proportional to 2,578.87, 3,868.52 and 824.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.87 : 3,868.52 = 824.12 : x
2. Step 2: Convert to fraction form
   2,578.87/3,868.52 = 824.12/x
3. Step 3: Cross multiply
   2,578.87x = 3,868.52 × 824.12
4. Step 4: Simplify right side
   2,578.87x = 3,188,120.38
5. Step 5: Solve for x
   x = 3,188,120.38/2,578.87
6. Step 6: Final answer
   x = 1,236.25