Finding the Fourth Proportional to 10,017.69, 13,824.18 and 5,768.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,017.69 : 13,824.18 = 5,768.85 : x
2. Step 2: Convert to fraction form
   10,017.69/13,824.18 = 5,768.85/x
3. Step 3: Cross multiply
   10,017.69x = 13,824.18 × 5,768.85
4. Step 4: Simplify right side
   10,017.69x = 79,749,620.79
5. Step 5: Solve for x
   x = 79,749,620.79/10,017.69
6. Step 6: Final answer
   x = 7,960.88