Finding the Fourth Proportional to 10,578.08, 15,869.27 and 3,182.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578.08 : 15,869.27 = 3,182.24 : x
2. Step 2: Convert to fraction form
   10,578.08/15,869.27 = 3,182.24/x
3. Step 3: Cross multiply
   10,578.08x = 15,869.27 × 3,182.24
4. Step 4: Simplify right side
   10,578.08x = 50,499,825.76
5. Step 5: Solve for x
   x = 50,499,825.76/10,578.08
6. Step 6: Final answer
   x = 4,774.01