Finding the Fourth Proportional to 2,185.37, 3,277.02 and 797.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,185.37 : 3,277.02 = 797.72 : x
2. Step 2: Convert to fraction form
   2,185.37/3,277.02 = 797.72/x
3. Step 3: Cross multiply
   2,185.37x = 3,277.02 × 797.72
4. Step 4: Simplify right side
   2,185.37x = 2,614,144.39
5. Step 5: Solve for x
   x = 2,614,144.39/2,185.37
6. Step 6: Final answer
   x = 1,196.20