Finding the Fourth Proportional to 3,523.72, 5,287.41 and 2,557.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,523.72 : 5,287.41 = 2,557.78 : x
2. Step 2: Convert to fraction form
   3,523.72/5,287.41 = 2,557.78/x
3. Step 3: Cross multiply
   3,523.72x = 5,287.41 × 2,557.78
4. Step 4: Simplify right side
   3,523.72x = 13,524,031.55
5. Step 5: Solve for x
   x = 13,524,031.55/3,523.72
6. Step 6: Final answer
   x = 3,838.00