Finding the Fourth Proportional to 9,653.84, 13,322.09 and 5,462.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,653.84 : 13,322.09 = 5,462.09 : x
2. Step 2: Convert to fraction form
   9,653.84/13,322.09 = 5,462.09/x
3. Step 3: Cross multiply
   9,653.84x = 13,322.09 × 5,462.09
4. Step 4: Simplify right side
   9,653.84x = 72,766,427.26
5. Step 5: Solve for x
   x = 72,766,427.26/9,653.84
6. Step 6: Final answer
   x = 7,537.56