Finding the Fourth Proportional to 2,509.27, 3,764.41 and 865.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.27 : 3,764.41 = 865.88 : x
2. Step 2: Convert to fraction form
   2,509.27/3,764.41 = 865.88/x
3. Step 3: Cross multiply
   2,509.27x = 3,764.41 × 865.88
4. Step 4: Simplify right side
   2,509.27x = 3,259,527.33
5. Step 5: Solve for x
   x = 3,259,527.33/2,509.27
6. Step 6: Final answer
   x = 1,298.99