Finding the Fourth Proportional to 6,819.69, 10,214.53 and 5,636.28

Step by Step Solution

1. Step 1: Write the proportion equation
   6,819.69 : 10,214.53 = 5,636.28 : x
2. Step 2: Convert to fraction form
   6,819.69/10,214.53 = 5,636.28/x
3. Step 3: Cross multiply
   6,819.69x = 10,214.53 × 5,636.28
4. Step 4: Simplify right side
   6,819.69x = 57,571,951.15
5. Step 5: Solve for x
   x = 57,571,951.15/6,819.69
6. Step 6: Final answer
   x = 8,442.02