Finding the Fourth Proportional to 9,648.40, 13,314.72 and 5,456.80

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648.40 : 13,314.72 = 5,456.80 : x
2. Step 2: Convert to fraction form
   9,648.40/13,314.72 = 5,456.80/x
3. Step 3: Cross multiply
   9,648.40x = 13,314.72 × 5,456.80
4. Step 4: Simplify right side
   9,648.40x = 72,655,764.10
5. Step 5: Solve for x
   x = 72,655,764.10/9,648.40
6. Step 6: Final answer
   x = 7,530.34