Finding the Fourth Proportional to 9,680.63, 14,519.57 and 3,105.95

Step by Step Solution

1. Step 1: Write the proportion equation
   9,680.63 : 14,519.57 = 3,105.95 : x
2. Step 2: Convert to fraction form
   9,680.63/14,519.57 = 3,105.95/x
3. Step 3: Cross multiply
   9,680.63x = 14,519.57 × 3,105.95
4. Step 4: Simplify right side
   9,680.63x = 45,096,970.31
5. Step 5: Solve for x
   x = 45,096,970.31/9,680.63
6. Step 6: Final answer
   x = 4,658.48