Finding the Fourth Proportional to 3,768.56, 5,200.62 and 2,090.23

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.56 : 5,200.62 = 2,090.23 : x
2. Step 2: Convert to fraction form
   3,768.56/5,200.62 = 2,090.23/x
3. Step 3: Cross multiply
   3,768.56x = 5,200.62 × 2,090.23
4. Step 4: Simplify right side
   3,768.56x = 10,870,464.60
5. Step 5: Solve for x
   x = 10,870,464.60/3,768.56
6. Step 6: Final answer
   x = 2,884.51