Finding the Fourth Proportional to 9,618.72, 13,270.11 and 5,638.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,618.72 : 13,270.11 = 5,638.38 : x
2. Step 2: Convert to fraction form
   9,618.72/13,270.11 = 5,638.38/x
3. Step 3: Cross multiply
   9,618.72x = 13,270.11 × 5,638.38
4. Step 4: Simplify right side
   9,618.72x = 74,821,922.82
5. Step 5: Solve for x
   x = 74,821,922.82/9,618.72
6. Step 6: Final answer
   x = 7,778.78