Finding the Fourth Proportional to 11,496.29, 17,229.78 and 5,259.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,496.29 : 17,229.78 = 5,259.69 : x
2. Step 2: Convert to fraction form
   11,496.29/17,229.78 = 5,259.69/x
3. Step 3: Cross multiply
   11,496.29x = 17,229.78 × 5,259.69
4. Step 4: Simplify right side
   11,496.29x = 90,623,301.57
5. Step 5: Solve for x
   x = 90,623,301.57/11,496.29
6. Step 6: Final answer
   x = 7,882.83