Finding the Fourth Proportional to 9,684.23, 13,367.09 and 5,706.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684.23 : 13,367.09 = 5,706.62 : x
2. Step 2: Convert to fraction form
   9,684.23/13,367.09 = 5,706.62/x
3. Step 3: Cross multiply
   9,684.23x = 13,367.09 × 5,706.62
4. Step 4: Simplify right side
   9,684.23x = 76,280,900.69
5. Step 5: Solve for x
   x = 76,280,900.69/9,684.23
6. Step 6: Final answer
   x = 7,876.82