Finding the Fourth Proportional to 11,664.42, 16,096.82 and 6,359.28

Step by Step Solution

1. Step 1: Write the proportion equation
   11,664.42 : 16,096.82 = 6,359.28 : x
2. Step 2: Convert to fraction form
   11,664.42/16,096.82 = 6,359.28/x
3. Step 3: Cross multiply
   11,664.42x = 16,096.82 × 6,359.28
4. Step 4: Simplify right side
   11,664.42x = 102,364,153.69
5. Step 5: Solve for x
   x = 102,364,153.69/11,664.42
6. Step 6: Final answer
   x = 8,775.76