Finding the Fourth Proportional to 10,728, 16,097.76 and 5,256

Step by Step Solution

1. Step 1: Write the proportion equation
   10,728 : 16,097.76 = 5,256 : x
2. Step 2: Convert to fraction form
   10,728/16,097.76 = 5,256/x
3. Step 3: Cross multiply
   10,728x = 16,097.76 × 5,256
4. Step 4: Simplify right side
   10,728x = 84,609,826.56
5. Step 5: Solve for x
   x = 84,609,826.56/10,728
6. Step 6: Final answer
   x = 7,886.82