Finding the Fourth Proportional to 9,638.16, 13,291.20 and 7,743.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638.16 : 13,291.20 = 7,743.69 : x
2. Step 2: Convert to fraction form
   9,638.16/13,291.20 = 7,743.69/x
3. Step 3: Cross multiply
   9,638.16x = 13,291.20 × 7,743.69
4. Step 4: Simplify right side
   9,638.16x = 102,922,932.53
5. Step 5: Solve for x
   x = 102,922,932.53/9,638.16
6. Step 6: Final answer
   x = 10,678.69