Finding the Fourth Proportional to 10,976.32, 16,465.83 and 3,578.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,976.32 : 16,465.83 = 3,578.80 : x
2. Step 2: Convert to fraction form
   10,976.32/16,465.83 = 3,578.80/x
3. Step 3: Cross multiply
   10,976.32x = 16,465.83 × 3,578.80
4. Step 4: Simplify right side
   10,976.32x = 58,927,912.40
5. Step 5: Solve for x
   x = 58,927,912.40/10,976.32
6. Step 6: Final answer
   x = 5,368.64