Finding the Fourth Proportional to 2,185.78, 3,276.69 and 798.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,185.78 : 3,276.69 = 798.14 : x
2. Step 2: Convert to fraction form
   2,185.78/3,276.69 = 798.14/x
3. Step 3: Cross multiply
   2,185.78x = 3,276.69 × 798.14
4. Step 4: Simplify right side
   2,185.78x = 2,615,240.97
5. Step 5: Solve for x
   x = 2,615,240.97/2,185.78
6. Step 6: Final answer
   x = 1,196.48