Finding the Fourth Proportional to 9,688.26, 13,370.31 and 5,496.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.26 : 13,370.31 = 5,496.42 : x
2. Step 2: Convert to fraction form
   9,688.26/13,370.31 = 5,496.42/x
3. Step 3: Cross multiply
   9,688.26x = 13,370.31 × 5,496.42
4. Step 4: Simplify right side
   9,688.26x = 73,488,839.29
5. Step 5: Solve for x
   x = 73,488,839.29/9,688.26
6. Step 6: Final answer
   x = 7,585.35