Finding the Fourth Proportional to 3,768.77, 5,200.72 and 2,090.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.77 : 5,200.72 = 2,090.16 : x
2. Step 2: Convert to fraction form
   3,768.77/5,200.72 = 2,090.16/x
3. Step 3: Cross multiply
   3,768.77x = 5,200.72 × 2,090.16
4. Step 4: Simplify right side
   3,768.77x = 10,870,331.69
5. Step 5: Solve for x
   x = 10,870,331.69/3,768.77
6. Step 6: Final answer
   x = 2,884.32