Finding the Fourth Proportional to 3,768.32, 5,200.27 and 2,089.90

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.32 : 5,200.27 = 2,089.90 : x
2. Step 2: Convert to fraction form
   3,768.32/5,200.27 = 2,089.90/x
3. Step 3: Cross multiply
   3,768.32x = 5,200.27 × 2,089.90
4. Step 4: Simplify right side
   3,768.32x = 10,868,045.55
5. Step 5: Solve for x
   x = 10,868,045.55/3,768.32
6. Step 6: Final answer
   x = 2,884.05