Finding the Fourth Proportional to 2,597.06, 3,896.20 and 865.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.06 : 3,896.20 = 865.69 : x
2. Step 2: Convert to fraction form
   2,597.06/3,896.20 = 865.69/x
3. Step 3: Cross multiply
   2,597.06x = 3,896.20 × 865.69
4. Step 4: Simplify right side
   2,597.06x = 3,372,892.72
5. Step 5: Solve for x
   x = 3,372,892.72/2,597.06
6. Step 6: Final answer
   x = 1,298.73