Finding the Fourth Proportional to 3,768.32, 5,200.31 and 2,089.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.32 : 5,200.31 = 2,089.69 : x
2. Step 2: Convert to fraction form
   3,768.32/5,200.31 = 2,089.69/x
3. Step 3: Cross multiply
   3,768.32x = 5,200.31 × 2,089.69
4. Step 4: Simplify right side
   3,768.32x = 10,867,028.03
5. Step 5: Solve for x
   x = 10,867,028.03/3,768.32
6. Step 6: Final answer
   x = 2,883.78