Finding the Fourth Proportional to 9,688.16, 13,369.20 and 5,496.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.16 : 13,369.20 = 5,496.32 : x
2. Step 2: Convert to fraction form
   9,688.16/13,369.20 = 5,496.32/x
3. Step 3: Cross multiply
   9,688.16x = 13,369.20 × 5,496.32
4. Step 4: Simplify right side
   9,688.16x = 73,481,401.34
5. Step 5: Solve for x
   x = 73,481,401.34/9,688.16
6. Step 6: Final answer
   x = 7,584.66