Finding the Fourth Proportional to 11,656, 16,080.72 and 7,679.20

Step by Step Solution

1. Step 1: Write the proportion equation
   11,656 : 16,080.72 = 7,679.20 : x
2. Step 2: Convert to fraction form
   11,656/16,080.72 = 7,679.20/x
3. Step 3: Cross multiply
   11,656x = 16,080.72 × 7,679.20
4. Step 4: Simplify right side
   11,656x = 123,487,065.02
5. Step 5: Solve for x
   x = 123,487,065.02/11,656
6. Step 6: Final answer
   x = 10,594.29