Finding the Fourth Proportional to 11,578.72, 15,978.54 and 6,865.24

Step by Step Solution

1. Step 1: Write the proportion equation
   11,578.72 : 15,978.54 = 6,865.24 : x
2. Step 2: Convert to fraction form
   11,578.72/15,978.54 = 6,865.24/x
3. Step 3: Cross multiply
   11,578.72x = 15,978.54 × 6,865.24
4. Step 4: Simplify right side
   11,578.72x = 109,696,511.95
5. Step 5: Solve for x
   x = 109,696,511.95/11,578.72
6. Step 6: Final answer
   x = 9,473.98