Finding the Fourth Proportional to 2,549.50, 3,509.67 and 2,287.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,549.50 : 3,509.67 = 2,287.42 : x
2. Step 2: Convert to fraction form
   2,549.50/3,509.67 = 2,287.42/x
3. Step 3: Cross multiply
   2,549.50x = 3,509.67 × 2,287.42
4. Step 4: Simplify right side
   2,549.50x = 8,028,089.35
5. Step 5: Solve for x
   x = 8,028,089.35/2,549.50
6. Step 6: Final answer
   x = 3,148.89