Finding the Fourth Proportional to 11,786.49, 16,258.14 and 7,806.15

Step by Step Solution

1. Step 1: Write the proportion equation
   11,786.49 : 16,258.14 = 7,806.15 : x
2. Step 2: Convert to fraction form
   11,786.49/16,258.14 = 7,806.15/x
3. Step 3: Cross multiply
   11,786.49x = 16,258.14 × 7,806.15
4. Step 4: Simplify right side
   11,786.49x = 126,913,479.56
5. Step 5: Solve for x
   x = 126,913,479.56/11,786.49
6. Step 6: Final answer
   x = 10,767.71