Finding the Fourth Proportional to 11,648.40, 16,069.59 and 7,768.71

Step by Step Solution

1. Step 1: Write the proportion equation
   11,648.40 : 16,069.59 = 7,768.71 : x
2. Step 2: Convert to fraction form
   11,648.40/16,069.59 = 7,768.71/x
3. Step 3: Cross multiply
   11,648.40x = 16,069.59 × 7,768.71
4. Step 4: Simplify right side
   11,648.40x = 124,839,984.53
5. Step 5: Solve for x
   x = 124,839,984.53/11,648.40
6. Step 6: Final answer
   x = 10,717.35