Finding the Fourth Proportional to 11,671.90, 16,096.41 and 7,686.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,671.90 : 16,096.41 = 7,686.10 : x
2. Step 2: Convert to fraction form
   11,671.90/16,096.41 = 7,686.10/x
3. Step 3: Cross multiply
   11,671.90x = 16,096.41 × 7,686.10
4. Step 4: Simplify right side
   11,671.90x = 123,718,616.90
5. Step 5: Solve for x
   x = 123,718,616.90/11,671.90
6. Step 6: Final answer
   x = 10,599.70