Finding the Fourth Proportional to 9,630.38, 13,291.34 and 5,653.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,630.38 : 13,291.34 = 5,653.68 : x
2. Step 2: Convert to fraction form
   9,630.38/13,291.34 = 5,653.68/x
3. Step 3: Cross multiply
   9,630.38x = 13,291.34 × 5,653.68
4. Step 4: Simplify right side
   9,630.38x = 75,144,954.86
5. Step 5: Solve for x
   x = 75,144,954.86/9,630.38
6. Step 6: Final answer
   x = 7,802.91