Finding the Fourth Proportional to 3,688.28, 5,089.91 and 2,009.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,688.28 : 5,089.91 = 2,009.78 : x
2. Step 2: Convert to fraction form
   3,688.28/5,089.91 = 2,009.78/x
3. Step 3: Cross multiply
   3,688.28x = 5,089.91 × 2,009.78
4. Step 4: Simplify right side
   3,688.28x = 10,229,563.82
5. Step 5: Solve for x
   x = 10,229,563.82/3,688.28
6. Step 6: Final answer
   x = 2,773.54