Finding the Fourth Proportional to 9,681.62, 13,360.76 and 5,648.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,681.62 : 13,360.76 = 5,648.33 : x
2. Step 2: Convert to fraction form
   9,681.62/13,360.76 = 5,648.33/x
3. Step 3: Cross multiply
   9,681.62x = 13,360.76 × 5,648.33
4. Step 4: Simplify right side
   9,681.62x = 75,465,928.85
5. Step 5: Solve for x
   x = 75,465,928.85/9,681.62
6. Step 6: Final answer
   x = 7,794.77