Finding the Fourth Proportional to 10,768.69, 16,139.05 and 5,214.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,768.69 : 16,139.05 = 5,214.32 : x
2. Step 2: Convert to fraction form
   10,768.69/16,139.05 = 5,214.32/x
3. Step 3: Cross multiply
   10,768.69x = 16,139.05 × 5,214.32
4. Step 4: Simplify right side
   10,768.69x = 84,154,171.20
5. Step 5: Solve for x
   x = 84,154,171.20/10,768.69
6. Step 6: Final answer
   x = 7,814.71