Finding the Fourth Proportional to 3,768.30, 5,200.19 and 2,089.71

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.30 : 5,200.19 = 2,089.71 : x
2. Step 2: Convert to fraction form
   3,768.30/5,200.19 = 2,089.71/x
3. Step 3: Cross multiply
   3,768.30x = 5,200.19 × 2,089.71
4. Step 4: Simplify right side
   3,768.30x = 10,866,878.60
5. Step 5: Solve for x
   x = 10,866,878.60/3,768.30
6. Step 6: Final answer
   x = 2,883.76