Finding the Fourth Proportional to 10,766.69, 16,135 and 5,218.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,766.69 : 16,135 = 5,218.56 : x
2. Step 2: Convert to fraction form
   10,766.69/16,135 = 5,218.56/x
3. Step 3: Cross multiply
   10,766.69x = 16,135 × 5,218.56
4. Step 4: Simplify right side
   10,766.69x = 84,201,465.60
5. Step 5: Solve for x
   x = 84,201,465.60/10,766.69
6. Step 6: Final answer
   x = 7,820.55