Finding the Fourth Proportional to 2,597.58, 3,896.64 and 866.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.58 : 3,896.64 = 866.34 : x
2. Step 2: Convert to fraction form
   2,597.58/3,896.64 = 866.34/x
3. Step 3: Cross multiply
   2,597.58x = 3,896.64 × 866.34
4. Step 4: Simplify right side
   2,597.58x = 3,375,815.10
5. Step 5: Solve for x
   x = 3,375,815.10/2,597.58
6. Step 6: Final answer
   x = 1,299.60