Finding the Fourth Proportional to 9,663.27, 13,336.55 and 5,684.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,663.27 : 13,336.55 = 5,684.75 : x
2. Step 2: Convert to fraction form
   9,663.27/13,336.55 = 5,684.75/x
3. Step 3: Cross multiply
   9,663.27x = 13,336.55 × 5,684.75
4. Step 4: Simplify right side
   9,663.27x = 75,814,857.51
5. Step 5: Solve for x
   x = 75,814,857.51/9,663.27
6. Step 6: Final answer
   x = 7,845.67