Finding the Fourth Proportional to 17,586.77, 24,269.74 and 9,629.48

Step by Step Solution

1. Step 1: Write the proportion equation
   17,586.77 : 24,269.74 = 9,629.48 : x
2. Step 2: Convert to fraction form
   17,586.77/24,269.74 = 9,629.48/x
3. Step 3: Cross multiply
   17,586.77x = 24,269.74 × 9,629.48
4. Step 4: Simplify right side
   17,586.77x = 233,705,012.54
5. Step 5: Solve for x
   x = 233,705,012.54/17,586.77
6. Step 6: Final answer
   x = 13,288.69