Finding the Fourth Proportional to 9,664.67, 13,336.00 and 5,684.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,664.67 : 13,336.00 = 5,684.33 : x
2. Step 2: Convert to fraction form
   9,664.67/13,336.00 = 5,684.33/x
3. Step 3: Cross multiply
   9,664.67x = 13,336.00 × 5,684.33
4. Step 4: Simplify right side
   9,664.67x = 75,806,265.33
5. Step 5: Solve for x
   x = 75,806,265.33/9,664.67
6. Step 6: Final answer
   x = 7,843.65