Finding the Fourth Proportional to 10,022.16, 13,829.88 and 5,772.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022.16 : 13,829.88 = 5,772.96 : x
2. Step 2: Convert to fraction form
   10,022.16/13,829.88 = 5,772.96/x
3. Step 3: Cross multiply
   10,022.16x = 13,829.88 × 5,772.96
4. Step 4: Simplify right side
   10,022.16x = 79,839,344.04
5. Step 5: Solve for x
   x = 79,839,344.04/10,022.16
6. Step 6: Final answer
   x = 7,966.28