Finding the Fourth Proportional to 10,819.12, 16,222.96 and 5,114.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,819.12 : 16,222.96 = 5,114.08 : x
2. Step 2: Convert to fraction form
   10,819.12/16,222.96 = 5,114.08/x
3. Step 3: Cross multiply
   10,819.12x = 16,222.96 × 5,114.08
4. Step 4: Simplify right side
   10,819.12x = 82,965,515.28
5. Step 5: Solve for x
   x = 82,965,515.28/10,819.12
6. Step 6: Final answer
   x = 7,668.42