Finding the Fourth Proportional to 3,768.72, 5,200.57 and 2,090.19

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.72 : 5,200.57 = 2,090.19 : x
2. Step 2: Convert to fraction form
   3,768.72/5,200.57 = 2,090.19/x
3. Step 3: Cross multiply
   3,768.72x = 5,200.57 × 2,090.19
4. Step 4: Simplify right side
   3,768.72x = 10,870,179.41
5. Step 5: Solve for x
   x = 10,870,179.41/3,768.72
6. Step 6: Final answer
   x = 2,884.32