Finding the Fourth Proportional to 11,729.48, 16,174.16 and 9,589.02

Step by Step Solution

1. Step 1: Write the proportion equation
   11,729.48 : 16,174.16 = 9,589.02 : x
2. Step 2: Convert to fraction form
   11,729.48/16,174.16 = 9,589.02/x
3. Step 3: Cross multiply
   11,729.48x = 16,174.16 × 9,589.02
4. Step 4: Simplify right side
   11,729.48x = 155,094,343.72
5. Step 5: Solve for x
   x = 155,094,343.72/11,729.48
6. Step 6: Final answer
   x = 13,222.61