Finding the Fourth Proportional to 11,930.40, 16,456.59 and 7,680.06

Step by Step Solution

1. Step 1: Write the proportion equation
   11,930.40 : 16,456.59 = 7,680.06 : x
2. Step 2: Convert to fraction form
   11,930.40/16,456.59 = 7,680.06/x
3. Step 3: Cross multiply
   11,930.40x = 16,456.59 × 7,680.06
4. Step 4: Simplify right side
   11,930.40x = 126,387,598.60
5. Step 5: Solve for x
   x = 126,387,598.60/11,930.40
6. Step 6: Final answer
   x = 10,593.74