Finding the Fourth Proportional to 10,224, 14,109 and 5,748.51

Step by Step Solution

1. Step 1: Write the proportion equation
   10,224 : 14,109 = 5,748.51 : x
2. Step 2: Convert to fraction form
   10,224/14,109 = 5,748.51/x
3. Step 3: Cross multiply
   10,224x = 14,109 × 5,748.51
4. Step 4: Simplify right side
   10,224x = 81,105,727.59
5. Step 5: Solve for x
   x = 81,105,727.59/10,224
6. Step 6: Final answer
   x = 7,932.88