Finding the Fourth Proportional to 10,786.96, 16,185.71 and 7,687.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,786.96 : 16,185.71 = 7,687.09 : x
2. Step 2: Convert to fraction form
   10,786.96/16,185.71 = 7,687.09/x
3. Step 3: Cross multiply
   10,786.96x = 16,185.71 × 7,687.09
4. Step 4: Simplify right side
   10,786.96x = 124,421,009.48
5. Step 5: Solve for x
   x = 124,421,009.48/10,786.96
6. Step 6: Final answer
   x = 11,534.39