Finding the Fourth Proportional to 9,605.89, 13,255.97 and 5,414.17

Step by Step Solution

1. Step 1: Write the proportion equation
   9,605.89 : 13,255.97 = 5,414.17 : x
2. Step 2: Convert to fraction form
   9,605.89/13,255.97 = 5,414.17/x
3. Step 3: Cross multiply
   9,605.89x = 13,255.97 × 5,414.17
4. Step 4: Simplify right side
   9,605.89x = 71,770,048.02
5. Step 5: Solve for x
   x = 71,770,048.02/9,605.89
6. Step 6: Final answer
   x = 7,471.46