Finding the Fourth Proportional to 10,016.54, 13,821.29 and 5,766.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016.54 : 13,821.29 = 5,766.78 : x
2. Step 2: Convert to fraction form
   10,016.54/13,821.29 = 5,766.78/x
3. Step 3: Cross multiply
   10,016.54x = 13,821.29 × 5,766.78
4. Step 4: Simplify right side
   10,016.54x = 79,704,338.75
5. Step 5: Solve for x
   x = 79,704,338.75/10,016.54
6. Step 6: Final answer
   x = 7,957.27