Finding the Fourth Proportional to 11,584.14, 17,375.52 and 5,658.72

Step by Step Solution

1. Step 1: Write the proportion equation
   11,584.14 : 17,375.52 = 5,658.72 : x
2. Step 2: Convert to fraction form
   11,584.14/17,375.52 = 5,658.72/x
3. Step 3: Cross multiply
   11,584.14x = 17,375.52 × 5,658.72
4. Step 4: Simplify right side
   11,584.14x = 98,323,202.53
5. Step 5: Solve for x
   x = 98,323,202.53/11,584.14
6. Step 6: Final answer
   x = 8,487.74