Finding the Fourth Proportional to 9,786.33, 13,496.23 and 8,277.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,786.33 : 13,496.23 = 8,277.06 : x
2. Step 2: Convert to fraction form
   9,786.33/13,496.23 = 8,277.06/x
3. Step 3: Cross multiply
   9,786.33x = 13,496.23 × 8,277.06
4. Step 4: Simplify right side
   9,786.33x = 111,709,105.48
5. Step 5: Solve for x
   x = 111,709,105.48/9,786.33
6. Step 6: Final answer
   x = 11,414.81