Finding the Fourth Proportional to 9,653.82, 13,322.94 and 5,405.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,653.82 : 13,322.94 = 5,405.28 : x
2. Step 2: Convert to fraction form
   9,653.82/13,322.94 = 5,405.28/x
3. Step 3: Cross multiply
   9,653.82x = 13,322.94 × 5,405.28
4. Step 4: Simplify right side
   9,653.82x = 72,014,221.12
5. Step 5: Solve for x
   x = 72,014,221.12/9,653.82
6. Step 6: Final answer
   x = 7,459.66