Finding the Fourth Proportional to 11,680, 16,119.89 and 7,709.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,680 : 16,119.89 = 7,709.38 : x
2. Step 2: Convert to fraction form
   11,680/16,119.89 = 7,709.38/x
3. Step 3: Cross multiply
   11,680x = 16,119.89 × 7,709.38
4. Step 4: Simplify right side
   11,680x = 124,274,357.57
5. Step 5: Solve for x
   x = 124,274,357.57/11,680
6. Step 6: Final answer
   x = 10,639.93