Finding the Fourth Proportional to 9,629.64, 13,288.50 and 5,438.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,629.64 : 13,288.50 = 5,438.04 : x
2. Step 2: Convert to fraction form
   9,629.64/13,288.50 = 5,438.04/x
3. Step 3: Cross multiply
   9,629.64x = 13,288.50 × 5,438.04
4. Step 4: Simplify right side
   9,629.64x = 72,263,394.54
5. Step 5: Solve for x
   x = 72,263,394.54/9,629.64
6. Step 6: Final answer
   x = 7,504.27