Finding the Fourth Proportional to 10,976.34, 16,465.94 and 3,578.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,976.34 : 16,465.94 = 3,578.20 : x
2. Step 2: Convert to fraction form
   10,976.34/16,465.94 = 3,578.20/x
3. Step 3: Cross multiply
   10,976.34x = 16,465.94 × 3,578.20
4. Step 4: Simplify right side
   10,976.34x = 58,918,426.51
5. Step 5: Solve for x
   x = 58,918,426.51/10,976.34
6. Step 6: Final answer
   x = 5,367.77