Finding the Fourth Proportional to 10,017.42, 13,824.12 and 5,768.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,017.42 : 13,824.12 = 5,768.56 : x
2. Step 2: Convert to fraction form
   10,017.42/13,824.12 = 5,768.56/x
3. Step 3: Cross multiply
   10,017.42x = 13,824.12 × 5,768.56
4. Step 4: Simplify right side
   10,017.42x = 79,745,265.67
5. Step 5: Solve for x
   x = 79,745,265.67/10,017.42
6. Step 6: Final answer
   x = 7,960.66