Finding the Fourth Proportional to 11,648.40, 16,078.20 and 7,924.56

Step by Step Solution

1. Step 1: Write the proportion equation
   11,648.40 : 16,078.20 = 7,924.56 : x
2. Step 2: Convert to fraction form
   11,648.40/16,078.20 = 7,924.56/x
3. Step 3: Cross multiply
   11,648.40x = 16,078.20 × 7,924.56
4. Step 4: Simplify right side
   11,648.40x = 127,412,660.59
5. Step 5: Solve for x
   x = 127,412,660.59/11,648.40
6. Step 6: Final answer
   x = 10,938.21