Finding the Fourth Proportional to 9,653.39, 13,321.89 and 6,825.74

Step by Step Solution

1. Step 1: Write the proportion equation
   9,653.39 : 13,321.89 = 6,825.74 : x
2. Step 2: Convert to fraction form
   9,653.39/13,321.89 = 6,825.74/x
3. Step 3: Cross multiply
   9,653.39x = 13,321.89 × 6,825.74
4. Step 4: Simplify right side
   9,653.39x = 90,931,757.45
5. Step 5: Solve for x
   x = 90,931,757.45/9,653.39
6. Step 6: Final answer
   x = 9,419.67