Finding the Fourth Proportional to 3,768.57, 5,200.13 and 2,089.89

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.57 : 5,200.13 = 2,089.89 : x
2. Step 2: Convert to fraction form
   3,768.57/5,200.13 = 2,089.89/x
3. Step 3: Cross multiply
   3,768.57x = 5,200.13 × 2,089.89
4. Step 4: Simplify right side
   3,768.57x = 10,867,689.24
5. Step 5: Solve for x
   x = 10,867,689.24/3,768.57
6. Step 6: Final answer
   x = 2,883.77