Finding the Fourth Proportional to 11,648.16, 16,079.76 and 7,669.44

Step by Step Solution

1. Step 1: Write the proportion equation
   11,648.16 : 16,079.76 = 7,669.44 : x
2. Step 2: Convert to fraction form
   11,648.16/16,079.76 = 7,669.44/x
3. Step 3: Cross multiply
   11,648.16x = 16,079.76 × 7,669.44
4. Step 4: Simplify right side
   11,648.16x = 123,322,754.53
5. Step 5: Solve for x
   x = 123,322,754.53/11,648.16
6. Step 6: Final answer
   x = 10,587.32