Finding the Fourth Proportional to 11,655.92, 16,080.56 and 7,678.96

Step by Step Solution

1. Step 1: Write the proportion equation
   11,655.92 : 16,080.56 = 7,678.96 : x
2. Step 2: Convert to fraction form
   11,655.92/16,080.56 = 7,678.96/x
3. Step 3: Cross multiply
   11,655.92x = 16,080.56 × 7,678.96
4. Step 4: Simplify right side
   11,655.92x = 123,481,977.02
5. Step 5: Solve for x
   x = 123,481,977.02/11,655.92
6. Step 6: Final answer
   x = 10,593.93