Finding the Fourth Proportional to 2,109, 2,909.56 and 1,224.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109 : 2,909.56 = 1,224.27 : x
2. Step 2: Convert to fraction form
   2,109/2,909.56 = 1,224.27/x
3. Step 3: Cross multiply
   2,109x = 2,909.56 × 1,224.27
4. Step 4: Simplify right side
   2,109x = 3,562,087.02
5. Step 5: Solve for x
   x = 3,562,087.02/2,109
6. Step 6: Final answer
   x = 1,688.99