Finding the Fourth Proportional to 9,678.20, 14,519.35 and 3,109

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678.20 : 14,519.35 = 3,109 : x
2. Step 2: Convert to fraction form
   9,678.20/14,519.35 = 3,109/x
3. Step 3: Cross multiply
   9,678.20x = 14,519.35 × 3,109
4. Step 4: Simplify right side
   9,678.20x = 45,140,659.15
5. Step 5: Solve for x
   x = 45,140,659.15/9,678.20
6. Step 6: Final answer
   x = 4,664.16