Finding the Fourth Proportional to 11,864.14, 16,321.28 and 10,258.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,864.14 : 16,321.28 = 10,258.82 : x
2. Step 2: Convert to fraction form
   11,864.14/16,321.28 = 10,258.82/x
3. Step 3: Cross multiply
   11,864.14x = 16,321.28 × 10,258.82
4. Step 4: Simplify right side
   11,864.14x = 167,437,073.69
5. Step 5: Solve for x
   x = 167,437,073.69/11,864.14
6. Step 6: Final answer
   x = 14,112.87