Finding the Fourth Proportional to 2,596.16, 3,894.52 and 864.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,596.16 : 3,894.52 = 864.96 : x
2. Step 2: Convert to fraction form
   2,596.16/3,894.52 = 864.96/x
3. Step 3: Cross multiply
   2,596.16x = 3,894.52 × 864.96
4. Step 4: Simplify right side
   2,596.16x = 3,368,604.02
5. Step 5: Solve for x
   x = 3,368,604.02/2,596.16
6. Step 6: Final answer
   x = 1,297.53