Finding the Fourth Proportional to 9,629.83, 13,288.20 and 5,380.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,629.83 : 13,288.20 = 5,380.54 : x
2. Step 2: Convert to fraction form
   9,629.83/13,288.20 = 5,380.54/x
3. Step 3: Cross multiply
   9,629.83x = 13,288.20 × 5,380.54
4. Step 4: Simplify right side
   9,629.83x = 71,497,691.63
5. Step 5: Solve for x
   x = 71,497,691.63/9,629.83
6. Step 6: Final answer
   x = 7,424.61