Finding the Fourth Proportional to 2,551.81, 3,828.27 and 796.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,551.81 : 3,828.27 = 796.78 : x
2. Step 2: Convert to fraction form
   2,551.81/3,828.27 = 796.78/x
3. Step 3: Cross multiply
   2,551.81x = 3,828.27 × 796.78
4. Step 4: Simplify right side
   2,551.81x = 3,050,288.97
5. Step 5: Solve for x
   x = 3,050,288.97/2,551.81
6. Step 6: Final answer
   x = 1,195.34