Finding the Fourth Proportional to 9,684.63, 14,523.84 and 3,109.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684.63 : 14,523.84 = 3,109.23 : x
2. Step 2: Convert to fraction form
   9,684.63/14,523.84 = 3,109.23/x
3. Step 3: Cross multiply
   9,684.63x = 14,523.84 × 3,109.23
4. Step 4: Simplify right side
   9,684.63x = 45,157,959.04
5. Step 5: Solve for x
   x = 45,157,959.04/9,684.63
6. Step 6: Final answer
   x = 4,662.85