Finding the Fourth Proportional to 10,224, 14,109.81 and 5,687.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,224 : 14,109.81 = 5,687.33 : x
2. Step 2: Convert to fraction form
   10,224/14,109.81 = 5,687.33/x
3. Step 3: Cross multiply
   10,224x = 14,109.81 × 5,687.33
4. Step 4: Simplify right side
   10,224x = 80,247,075.16
5. Step 5: Solve for x
   x = 80,247,075.16/10,224
6. Step 6: Final answer
   x = 7,848.89