Finding the Fourth Proportional to 10,974.04, 16,463.68 and 3,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,974.04 : 16,463.68 = 3,578.50 : x
2. Step 2: Convert to fraction form
   10,974.04/16,463.68 = 3,578.50/x
3. Step 3: Cross multiply
   10,974.04x = 16,463.68 × 3,578.50
4. Step 4: Simplify right side
   10,974.04x = 58,915,331.79
5. Step 5: Solve for x
   x = 58,915,331.79/10,974.04
6. Step 6: Final answer
   x = 5,368.61