Finding the Fourth Proportional to 9,606.74, 13,256.84 and 5,358.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,606.74 : 13,256.84 = 5,358.25 : x
2. Step 2: Convert to fraction form
   9,606.74/13,256.84 = 5,358.25/x
3. Step 3: Cross multiply
   9,606.74x = 13,256.84 × 5,358.25
4. Step 4: Simplify right side
   9,606.74x = 71,033,369.85
5. Step 5: Solve for x
   x = 71,033,369.85/9,606.74
6. Step 6: Final answer
   x = 7,394.12