Finding the Fourth Proportional to 9,233.48, 12,742.44 and 5,648.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,233.48 : 12,742.44 = 5,648.96 : x
2. Step 2: Convert to fraction form
   9,233.48/12,742.44 = 5,648.96/x
3. Step 3: Cross multiply
   9,233.48x = 12,742.44 × 5,648.96
4. Step 4: Simplify right side
   9,233.48x = 71,981,533.86
5. Step 5: Solve for x
   x = 71,981,533.86/9,233.48
6. Step 6: Final answer
   x = 7,795.71