Finding the Fourth Proportional to 10,766.24, 16,127.40 and 5,202.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,766.24 : 16,127.40 = 5,202.80 : x
2. Step 2: Convert to fraction form
   10,766.24/16,127.40 = 5,202.80/x
3. Step 3: Cross multiply
   10,766.24x = 16,127.40 × 5,202.80
4. Step 4: Simplify right side
   10,766.24x = 83,907,636.72
5. Step 5: Solve for x
   x = 83,907,636.72/10,766.24
6. Step 6: Final answer
   x = 7,793.59