Finding the Fourth Proportional to 9,496.41, 13,105.76 and 5,464.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,496.41 : 13,105.76 = 5,464.47 : x
2. Step 2: Convert to fraction form
   9,496.41/13,105.76 = 5,464.47/x
3. Step 3: Cross multiply
   9,496.41x = 13,105.76 × 5,464.47
4. Step 4: Simplify right side
   9,496.41x = 71,616,032.35
5. Step 5: Solve for x
   x = 71,616,032.35/9,496.41
6. Step 6: Final answer
   x = 7,541.38