Finding the Fourth Proportional to 3,768.27, 5,200.25 and 2,089.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.27 : 5,200.25 = 2,089.82 : x
2. Step 2: Convert to fraction form
   3,768.27/5,200.25 = 2,089.82/x
3. Step 3: Cross multiply
   3,768.27x = 5,200.25 × 2,089.82
4. Step 4: Simplify right side
   3,768.27x = 10,867,571.51
5. Step 5: Solve for x
   x = 10,867,571.51/3,768.27
6. Step 6: Final answer
   x = 2,883.97