Finding the Fourth Proportional to 11,894.50, 16,414.41 and 7,178.79

Step by Step Solution

1. Step 1: Write the proportion equation
   11,894.50 : 16,414.41 = 7,178.79 : x
2. Step 2: Convert to fraction form
   11,894.50/16,414.41 = 7,178.79/x
3. Step 3: Cross multiply
   11,894.50x = 16,414.41 × 7,178.79
4. Step 4: Simplify right side
   11,894.50x = 117,835,520.29
5. Step 5: Solve for x
   x = 117,835,520.29/11,894.50
6. Step 6: Final answer
   x = 9,906.72