Finding the Fourth Proportional to 9,727.59, 14,593.69 and 3,153.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,727.59 : 14,593.69 = 3,153.78 : x
2. Step 2: Convert to fraction form
   9,727.59/14,593.69 = 3,153.78/x
3. Step 3: Cross multiply
   9,727.59x = 14,593.69 × 3,153.78
4. Step 4: Simplify right side
   9,727.59x = 46,025,287.65
5. Step 5: Solve for x
   x = 46,025,287.65/9,727.59
6. Step 6: Final answer
   x = 4,731.42