Finding the Fourth Proportional to 9,606.38, 13,256.82 and 5,414.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,606.38 : 13,256.82 = 5,414.63 : x
2. Step 2: Convert to fraction form
   9,606.38/13,256.82 = 5,414.63/x
3. Step 3: Cross multiply
   9,606.38x = 13,256.82 × 5,414.63
4. Step 4: Simplify right side
   9,606.38x = 71,780,708.99
5. Step 5: Solve for x
   x = 71,780,708.99/9,606.38
6. Step 6: Final answer
   x = 7,472.20