Finding the Fourth Proportional to 9,653.38, 13,321.57 and 5,461.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,653.38 : 13,321.57 = 5,461.63 : x
2. Step 2: Convert to fraction form
   9,653.38/13,321.57 = 5,461.63/x
3. Step 3: Cross multiply
   9,653.38x = 13,321.57 × 5,461.63
4. Step 4: Simplify right side
   9,653.38x = 72,757,392.44
5. Step 5: Solve for x
   x = 72,757,392.44/9,653.38
6. Step 6: Final answer
   x = 7,536.99