Finding the Fourth Proportional to 2,185.82, 3,277.68 and 798.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,185.82 : 3,277.68 = 798.17 : x
2. Step 2: Convert to fraction form
   2,185.82/3,277.68 = 798.17/x
3. Step 3: Cross multiply
   2,185.82x = 3,277.68 × 798.17
4. Step 4: Simplify right side
   2,185.82x = 2,616,129.46
5. Step 5: Solve for x
   x = 2,616,129.46/2,185.82
6. Step 6: Final answer
   x = 1,196.87