Finding the Fourth Proportional to 9,627.50, 13,285.95 and 5,436.02

Step by Step Solution

1. Step 1: Write the proportion equation
   9,627.50 : 13,285.95 = 5,436.02 : x
2. Step 2: Convert to fraction form
   9,627.50/13,285.95 = 5,436.02/x
3. Step 3: Cross multiply
   9,627.50x = 13,285.95 × 5,436.02
4. Step 4: Simplify right side
   9,627.50x = 72,222,689.92
5. Step 5: Solve for x
   x = 72,222,689.92/9,627.50
6. Step 6: Final answer
   x = 7,501.71