Finding the Fourth Proportional to 10,828.83, 16,097.12 and 10,509.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,828.83 : 16,097.12 = 10,509.57 : x
2. Step 2: Convert to fraction form
   10,828.83/16,097.12 = 10,509.57/x
3. Step 3: Cross multiply
   10,828.83x = 16,097.12 × 10,509.57
4. Step 4: Simplify right side
   10,828.83x = 169,173,826.80
5. Step 5: Solve for x
   x = 169,173,826.80/10,828.83
6. Step 6: Final answer
   x = 15,622.54