Finding the Fourth Proportional to 2,549.81, 3,825.27 and 794.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,549.81 : 3,825.27 = 794.78 : x
2. Step 2: Convert to fraction form
   2,549.81/3,825.27 = 794.78/x
3. Step 3: Cross multiply
   2,549.81x = 3,825.27 × 794.78
4. Step 4: Simplify right side
   2,549.81x = 3,040,241.07
5. Step 5: Solve for x
   x = 3,040,241.07/2,549.81
6. Step 6: Final answer
   x = 1,192.34