Finding the Fourth Proportional to 9,680, 13,357.68 and 5,488.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,680 : 13,357.68 = 5,488.16 : x
2. Step 2: Convert to fraction form
   9,680/13,357.68 = 5,488.16/x
3. Step 3: Cross multiply
   9,680x = 13,357.68 × 5,488.16
4. Step 4: Simplify right side
   9,680x = 73,309,085.07
5. Step 5: Solve for x
   x = 73,309,085.07/9,680
6. Step 6: Final answer
   x = 7,573.25