Finding the Fourth Proportional to 3,768.42, 5,200.10 and 2,089.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.42 : 5,200.10 = 2,089.80 : x
2. Step 2: Convert to fraction form
   3,768.42/5,200.10 = 2,089.80/x
3. Step 3: Cross multiply
   3,768.42x = 5,200.10 × 2,089.80
4. Step 4: Simplify right side
   3,768.42x = 10,867,166.37
5. Step 5: Solve for x
   x = 10,867,166.37/3,768.42
6. Step 6: Final answer
   x = 2,883.74