Finding the Fourth Proportional to 9,697.63, 13,389 and 7,569.49

Step by Step Solution

1. Step 1: Write the proportion equation
   9,697.63 : 13,389 = 7,569.49 : x
2. Step 2: Convert to fraction form
   9,697.63/13,389 = 7,569.49/x
3. Step 3: Cross multiply
   9,697.63x = 13,389 × 7,569.49
4. Step 4: Simplify right side
   9,697.63x = 101,347,834.67
5. Step 5: Solve for x
   x = 101,347,834.67/9,697.63
6. Step 6: Final answer
   x = 10,450.79