Finding the Fourth Proportional to 11,647.48, 16,080.12 and 7,680.16

Step by Step Solution

1. Step 1: Write the proportion equation
   11,647.48 : 16,080.12 = 7,680.16 : x
2. Step 2: Convert to fraction form
   11,647.48/16,080.12 = 7,680.16/x
3. Step 3: Cross multiply
   11,647.48x = 16,080.12 × 7,680.16
4. Step 4: Simplify right side
   11,647.48x = 123,497,894.42
5. Step 5: Solve for x
   x = 123,497,894.42/11,647.48
6. Step 6: Final answer
   x = 10,602.97