Finding the Fourth Proportional to 5,117.57, 7,680 and 2,196.71

Step by Step Solution

1. Step 1: Write the proportion equation
   5,117.57 : 7,680 = 2,196.71 : x
2. Step 2: Convert to fraction form
   5,117.57/7,680 = 2,196.71/x
3. Step 3: Cross multiply
   5,117.57x = 7,680 × 2,196.71
4. Step 4: Simplify right side
   5,117.57x = 16,870,732.80
5. Step 5: Solve for x
   x = 16,870,732.80/5,117.57
6. Step 6: Final answer
   x = 3,296.63