Finding the Fourth Proportional to 9,680.64, 14,519.59 and 3,105.97

Step by Step Solution

1. Step 1: Write the proportion equation
   9,680.64 : 14,519.59 = 3,105.97 : x
2. Step 2: Convert to fraction form
   9,680.64/14,519.59 = 3,105.97/x
3. Step 3: Cross multiply
   9,680.64x = 14,519.59 × 3,105.97
4. Step 4: Simplify right side
   9,680.64x = 45,097,410.95
5. Step 5: Solve for x
   x = 45,097,410.95/9,680.64
6. Step 6: Final answer
   x = 4,658.52