Finding the Fourth Proportional to 2,552.49, 3,827.69 and 796.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.49 : 3,827.69 = 796.90 : x
2. Step 2: Convert to fraction form
   2,552.49/3,827.69 = 796.90/x
3. Step 3: Cross multiply
   2,552.49x = 3,827.69 × 796.90
4. Step 4: Simplify right side
   2,552.49x = 3,050,272.61
5. Step 5: Solve for x
   x = 3,050,272.61/2,552.49
6. Step 6: Final answer
   x = 1,195.02