Finding the Fourth Proportional to 9,629.34, 13,288.14 and 5,380.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,629.34 : 13,288.14 = 5,380.35 : x
2. Step 2: Convert to fraction form
   9,629.34/13,288.14 = 5,380.35/x
3. Step 3: Cross multiply
   9,629.34x = 13,288.14 × 5,380.35
4. Step 4: Simplify right side
   9,629.34x = 71,494,844.05
5. Step 5: Solve for x
   x = 71,494,844.05/9,629.34
6. Step 6: Final answer
   x = 7,424.69