Finding the Fourth Proportional to 16,578.46, 24,841.77 and 10,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,578.46 : 24,841.77 = 10,409.50 : x
2. Step 2: Convert to fraction form
   16,578.46/24,841.77 = 10,409.50/x
3. Step 3: Cross multiply
   16,578.46x = 24,841.77 × 10,409.50
4. Step 4: Simplify right side
   16,578.46x = 258,590,404.82
5. Step 5: Solve for x
   x = 258,590,404.82/16,578.46
6. Step 6: Final answer
   x = 15,597.98