Finding the Fourth Proportional to 10,769.69, 16,140.55 and 5,215.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,769.69 : 16,140.55 = 5,215.32 : x
2. Step 2: Convert to fraction form
   10,769.69/16,140.55 = 5,215.32/x
3. Step 3: Cross multiply
   10,769.69x = 16,140.55 × 5,215.32
4. Step 4: Simplify right side
   10,769.69x = 84,178,133.23
5. Step 5: Solve for x
   x = 84,178,133.23/10,769.69
6. Step 6: Final answer
   x = 7,816.21