Finding the Fourth Proportional to 9,606.24, 13,256.73 and 5,414.76

Step by Step Solution

1. Step 1: Write the proportion equation
   9,606.24 : 13,256.73 = 5,414.76 : x
2. Step 2: Convert to fraction form
   9,606.24/13,256.73 = 5,414.76/x
3. Step 3: Cross multiply
   9,606.24x = 13,256.73 × 5,414.76
4. Step 4: Simplify right side
   9,606.24x = 71,782,011.33
5. Step 5: Solve for x
   x = 71,782,011.33/9,606.24
6. Step 6: Final answer
   x = 7,472.44