Finding the Fourth Proportional to 11,766.59, 16,226.89 and 9,384.49

Step by Step Solution

1. Step 1: Write the proportion equation
   11,766.59 : 16,226.89 = 9,384.49 : x
2. Step 2: Convert to fraction form
   11,766.59/16,226.89 = 9,384.49/x
3. Step 3: Cross multiply
   11,766.59x = 16,226.89 × 9,384.49
4. Step 4: Simplify right side
   11,766.59x = 152,281,086.94
5. Step 5: Solve for x
   x = 152,281,086.94/11,766.59
6. Step 6: Final answer
   x = 12,941.82