Finding the Fourth Proportional to 3,768.38, 5,200.34 and 2,089.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.38 : 5,200.34 = 2,089.80 : x
2. Step 2: Convert to fraction form
   3,768.38/5,200.34 = 2,089.80/x
3. Step 3: Cross multiply
   3,768.38x = 5,200.34 × 2,089.80
4. Step 4: Simplify right side
   3,768.38x = 10,867,670.53
5. Step 5: Solve for x
   x = 10,867,670.53/3,768.38
6. Step 6: Final answer
   x = 2,883.91