Finding the Fourth Proportional to 9,680.42, 13,359.24 and 5,488.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,680.42 : 13,359.24 = 5,488.64 : x
2. Step 2: Convert to fraction form
   9,680.42/13,359.24 = 5,488.64/x
3. Step 3: Cross multiply
   9,680.42x = 13,359.24 × 5,488.64
4. Step 4: Simplify right side
   9,680.42x = 73,324,059.03
5. Step 5: Solve for x
   x = 73,324,059.03/9,680.42
6. Step 6: Final answer
   x = 7,574.47