Finding the Fourth Proportional to 9,629.96, 13,289.33 and 5,438.21

Step by Step Solution

1. Step 1: Write the proportion equation
   9,629.96 : 13,289.33 = 5,438.21 : x
2. Step 2: Convert to fraction form
   9,629.96/13,289.33 = 5,438.21/x
3. Step 3: Cross multiply
   9,629.96x = 13,289.33 × 5,438.21
4. Step 4: Simplify right side
   9,629.96x = 72,270,114.45
5. Step 5: Solve for x
   x = 72,270,114.45/9,629.96
6. Step 6: Final answer
   x = 7,504.72