Finding the Fourth Proportional to 11,584.56, 15,986.72 and 6,279.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,584.56 : 15,986.72 = 6,279.38 : x
2. Step 2: Convert to fraction form
   11,584.56/15,986.72 = 6,279.38/x
3. Step 3: Cross multiply
   11,584.56x = 15,986.72 × 6,279.38
4. Step 4: Simplify right side
   11,584.56x = 100,386,689.83
5. Step 5: Solve for x
   x = 100,386,689.83/11,584.56
6. Step 6: Final answer
   x = 8,665.56