Finding the Fourth Proportional to 9,616.64, 14,426.83 and 3,693.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,616.64 : 14,426.83 = 3,693.09 : x
2. Step 2: Convert to fraction form
   9,616.64/14,426.83 = 3,693.09/x
3. Step 3: Cross multiply
   9,616.64x = 14,426.83 × 3,693.09
4. Step 4: Simplify right side
   9,616.64x = 53,279,639.02
5. Step 5: Solve for x
   x = 53,279,639.02/9,616.64
6. Step 6: Final answer
   x = 5,540.36