Finding the Fourth Proportional to 9,724.56, 13,419.37 and 5,744.22

Step by Step Solution

1. Step 1: Write the proportion equation
   9,724.56 : 13,419.37 = 5,744.22 : x
2. Step 2: Convert to fraction form
   9,724.56/13,419.37 = 5,744.22/x
3. Step 3: Cross multiply
   9,724.56x = 13,419.37 × 5,744.22
4. Step 4: Simplify right side
   9,724.56x = 77,083,770.40
5. Step 5: Solve for x
   x = 77,083,770.40/9,724.56
6. Step 6: Final answer
   x = 7,926.71