Finding the Fourth Proportional to 9,629.13, 13,288.82 and 5,648.79

Step by Step Solution

1. Step 1: Write the proportion equation
   9,629.13 : 13,288.82 = 5,648.79 : x
2. Step 2: Convert to fraction form
   9,629.13/13,288.82 = 5,648.79/x
3. Step 3: Cross multiply
   9,629.13x = 13,288.82 × 5,648.79
4. Step 4: Simplify right side
   9,629.13x = 75,065,753.53
5. Step 5: Solve for x
   x = 75,065,753.53/9,629.13
6. Step 6: Final answer
   x = 7,795.69