Finding the Fourth Proportional to 9,653.96, 13,322.54 and 5,675.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,653.96 : 13,322.54 = 5,675.24 : x
2. Step 2: Convert to fraction form
   9,653.96/13,322.54 = 5,675.24/x
3. Step 3: Cross multiply
   9,653.96x = 13,322.54 × 5,675.24
4. Step 4: Simplify right side
   9,653.96x = 75,608,611.91
5. Step 5: Solve for x
   x = 75,608,611.91/9,653.96
6. Step 6: Final answer
   x = 7,831.88