Finding the Fourth Proportional to 3,507.57, 5,256.04 and 2,578.71

Step by Step Solution

1. Step 1: Write the proportion equation
   3,507.57 : 5,256.04 = 2,578.71 : x
2. Step 2: Convert to fraction form
   3,507.57/5,256.04 = 2,578.71/x
3. Step 3: Cross multiply
   3,507.57x = 5,256.04 × 2,578.71
4. Step 4: Simplify right side
   3,507.57x = 13,553,763.73
5. Step 5: Solve for x
   x = 13,553,763.73/3,507.57
6. Step 6: Final answer
   x = 3,864.15