Finding the Fourth Proportional to 11,766.78, 16,226.72 and 7,946.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,766.78 : 16,226.72 = 7,946.82 : x
2. Step 2: Convert to fraction form
   11,766.78/16,226.72 = 7,946.82/x
3. Step 3: Cross multiply
   11,766.78x = 16,226.72 × 7,946.82
4. Step 4: Simplify right side
   11,766.78x = 128,950,823.03
5. Step 5: Solve for x
   x = 128,950,823.03/11,766.78
6. Step 6: Final answer
   x = 10,958.89