Finding the Fourth Proportional to 9,689.37, 13,371.35 and 5,497.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,689.37 : 13,371.35 = 5,497.62 : x
2. Step 2: Convert to fraction form
   9,689.37/13,371.35 = 5,497.62/x
3. Step 3: Cross multiply
   9,689.37x = 13,371.35 × 5,497.62
4. Step 4: Simplify right side
   9,689.37x = 73,510,523.56
5. Step 5: Solve for x
   x = 73,510,523.56/9,689.37
6. Step 6: Final answer
   x = 7,586.72