Finding the Fourth Proportional to 10,864.88, 16,284.78 and 5,009.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,864.88 : 16,284.78 = 5,009.24 : x
2. Step 2: Convert to fraction form
   10,864.88/16,284.78 = 5,009.24/x
3. Step 3: Cross multiply
   10,864.88x = 16,284.78 × 5,009.24
4. Step 4: Simplify right side
   10,864.88x = 81,574,371.37
5. Step 5: Solve for x
   x = 81,574,371.37/10,864.88
6. Step 6: Final answer
   x = 7,508.08