Finding the Fourth Proportional to 9,688.05, 13,367.70 and 5,710.41

Step by Step Solution

1. Step 1: Write the proportion equation
   9,688.05 : 13,367.70 = 5,710.41 : x
2. Step 2: Convert to fraction form
   9,688.05/13,367.70 = 5,710.41/x
3. Step 3: Cross multiply
   9,688.05x = 13,367.70 × 5,710.41
4. Step 4: Simplify right side
   9,688.05x = 76,335,047.76
5. Step 5: Solve for x
   x = 76,335,047.76/9,688.05
6. Step 6: Final answer
   x = 7,879.30