Finding the Fourth Proportional to 3,768.39, 5,200.38 and 2,089.89

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.39 : 5,200.38 = 2,089.89 : x
2. Step 2: Convert to fraction form
   3,768.39/5,200.38 = 2,089.89/x
3. Step 3: Cross multiply
   3,768.39x = 5,200.38 × 2,089.89
4. Step 4: Simplify right side
   3,768.39x = 10,868,222.16
5. Step 5: Solve for x
   x = 10,868,222.16/3,768.39
6. Step 6: Final answer
   x = 2,884.05