Finding the Fourth Proportional to 9,627.65, 13,285.21 and 5,647.98

Step by Step Solution

1. Step 1: Write the proportion equation
   9,627.65 : 13,285.21 = 5,647.98 : x
2. Step 2: Convert to fraction form
   9,627.65/13,285.21 = 5,647.98/x
3. Step 3: Cross multiply
   9,627.65x = 13,285.21 × 5,647.98
4. Step 4: Simplify right side
   9,627.65x = 75,034,600.38
5. Step 5: Solve for x
   x = 75,034,600.38/9,627.65
6. Step 6: Final answer
   x = 7,793.66