Finding the Fourth Proportional to 2,598.75, 3,896.91 and 866.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,598.75 : 3,896.91 = 866.16 : x
2. Step 2: Convert to fraction form
   2,598.75/3,896.91 = 866.16/x
3. Step 3: Cross multiply
   2,598.75x = 3,896.91 × 866.16
4. Step 4: Simplify right side
   2,598.75x = 3,375,347.57
5. Step 5: Solve for x
   x = 3,375,347.57/2,598.75
6. Step 6: Final answer
   x = 1,298.84