Finding the Fourth Proportional to 10,940.41, 16,384.49 and 5,661.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,940.41 : 16,384.49 = 5,661.24 : x
2. Step 2: Convert to fraction form
   10,940.41/16,384.49 = 5,661.24/x
3. Step 3: Cross multiply
   10,940.41x = 16,384.49 × 5,661.24
4. Step 4: Simplify right side
   10,940.41x = 92,756,530.17
5. Step 5: Solve for x
   x = 92,756,530.17/10,940.41
6. Step 6: Final answer
   x = 8,478.34