Finding the Fourth Proportional to 9,628.50, 13,287.54 and 5,436.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,628.50 : 13,287.54 = 5,436.78 : x
2. Step 2: Convert to fraction form
   9,628.50/13,287.54 = 5,436.78/x
3. Step 3: Cross multiply
   9,628.50x = 13,287.54 × 5,436.78
4. Step 4: Simplify right side
   9,628.50x = 72,241,431.72
5. Step 5: Solve for x
   x = 72,241,431.72/9,628.50
6. Step 6: Final answer
   x = 7,502.87