Finding the Fourth Proportional to 2,509.50, 3,756.09 and 1,337.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.50 : 3,756.09 = 1,337.85 : x
2. Step 2: Convert to fraction form
   2,509.50/3,756.09 = 1,337.85/x
3. Step 3: Cross multiply
   2,509.50x = 3,756.09 × 1,337.85
4. Step 4: Simplify right side
   2,509.50x = 5,025,085.01
5. Step 5: Solve for x
   x = 5,025,085.01/2,509.50
6. Step 6: Final answer
   x = 2,002.42