Finding the Fourth Proportional to 2,095.78, 3,144.60 and 864.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,095.78 : 3,144.60 = 864.12 : x
2. Step 2: Convert to fraction form
   2,095.78/3,144.60 = 864.12/x
3. Step 3: Cross multiply
   2,095.78x = 3,144.60 × 864.12
4. Step 4: Simplify right side
   2,095.78x = 2,717,311.75
5. Step 5: Solve for x
   x = 2,717,311.75/2,095.78
6. Step 6: Final answer
   x = 1,296.56