Finding the Fourth Proportional to 10,020.62, 13,829.50 and 5,771.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,020.62 : 13,829.50 = 5,771.84 : x
2. Step 2: Convert to fraction form
   10,020.62/13,829.50 = 5,771.84/x
3. Step 3: Cross multiply
   10,020.62x = 13,829.50 × 5,771.84
4. Step 4: Simplify right side
   10,020.62x = 79,821,661.28
5. Step 5: Solve for x
   x = 79,821,661.28/10,020.62
6. Step 6: Final answer
   x = 7,965.74