Finding the Fourth Proportional to 9,648.96, 13,315.53 and 5,672.35

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648.96 : 13,315.53 = 5,672.35 : x
2. Step 2: Convert to fraction form
   9,648.96/13,315.53 = 5,672.35/x
3. Step 3: Cross multiply
   9,648.96x = 13,315.53 × 5,672.35
4. Step 4: Simplify right side
   9,648.96x = 75,530,346.60
5. Step 5: Solve for x
   x = 75,530,346.60/9,648.96
6. Step 6: Final answer
   x = 7,827.82