Finding the Fourth Proportional to 2,601.24, 3,871.23 and 2,509.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,601.24 : 3,871.23 = 2,509.08 : x
2. Step 2: Convert to fraction form
   2,601.24/3,871.23 = 2,509.08/x
3. Step 3: Cross multiply
   2,601.24x = 3,871.23 × 2,509.08
4. Step 4: Simplify right side
   2,601.24x = 9,713,225.77
5. Step 5: Solve for x
   x = 9,713,225.77/2,601.24
6. Step 6: Final answer
   x = 3,734.08