Finding the Fourth Proportional to 9,606, 13,256.28 and 5,414.26

Step by Step Solution

1. Step 1: Write the proportion equation
   9,606 : 13,256.28 = 5,414.26 : x
2. Step 2: Convert to fraction form
   9,606/13,256.28 = 5,414.26/x
3. Step 3: Cross multiply
   9,606x = 13,256.28 × 5,414.26
4. Step 4: Simplify right side
   9,606x = 71,772,946.55
5. Step 5: Solve for x
   x = 71,772,946.55/9,606
6. Step 6: Final answer
   x = 7,471.68