Finding the Fourth Proportional to 3,688.27, 5,089.63 and 2,009.57

Step by Step Solution

1. Step 1: Write the proportion equation
   3,688.27 : 5,089.63 = 2,009.57 : x
2. Step 2: Convert to fraction form
   3,688.27/5,089.63 = 2,009.57/x
3. Step 3: Cross multiply
   3,688.27x = 5,089.63 × 2,009.57
4. Step 4: Simplify right side
   3,688.27x = 10,227,967.76
5. Step 5: Solve for x
   x = 10,227,967.76/3,688.27
6. Step 6: Final answer
   x = 2,773.11