Finding the Fourth Proportional to 3,768.80, 5,200.89 and 2,090.20

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.80 : 5,200.89 = 2,090.20 : x
2. Step 2: Convert to fraction form
   3,768.80/5,200.89 = 2,090.20/x
3. Step 3: Cross multiply
   3,768.80x = 5,200.89 × 2,090.20
4. Step 4: Simplify right side
   3,768.80x = 10,870,900.28
5. Step 5: Solve for x
   x = 10,870,900.28/3,768.80
6. Step 6: Final answer
   x = 2,884.45