Finding the Fourth Proportional to 2,509.39, 3,761.58 and 864.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,509.39 : 3,761.58 = 864.89 : x
2. Step 2: Convert to fraction form
   2,509.39/3,761.58 = 864.89/x
3. Step 3: Cross multiply
   2,509.39x = 3,761.58 × 864.89
4. Step 4: Simplify right side
   2,509.39x = 3,253,351.47
5. Step 5: Solve for x
   x = 3,253,351.47/2,509.39
6. Step 6: Final answer
   x = 1,296.47