Finding the Fourth Proportional to 9,628, 13,286.64 and 5,436.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,628 : 13,286.64 = 5,436.52 : x
2. Step 2: Convert to fraction form
   9,628/13,286.64 = 5,436.52/x
3. Step 3: Cross multiply
   9,628x = 13,286.64 × 5,436.52
4. Step 4: Simplify right side
   9,628x = 72,233,084.09
5. Step 5: Solve for x
   x = 72,233,084.09/9,628
6. Step 6: Final answer
   x = 7,502.40