Finding the Fourth Proportional to 10,976.16, 16,459.90 and 3,578.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,976.16 : 16,459.90 = 3,578.80 : x
2. Step 2: Convert to fraction form
   10,976.16/16,459.90 = 3,578.80/x
3. Step 3: Cross multiply
   10,976.16x = 16,459.90 × 3,578.80
4. Step 4: Simplify right side
   10,976.16x = 58,906,690.12
5. Step 5: Solve for x
   x = 58,906,690.12/10,976.16
6. Step 6: Final answer
   x = 5,366.78