Finding the Fourth Proportional to 9,719.92, 13,411.92 and 5,740.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,719.92 : 13,411.92 = 5,740.48 : x
2. Step 2: Convert to fraction form
   9,719.92/13,411.92 = 5,740.48/x
3. Step 3: Cross multiply
   9,719.92x = 13,411.92 × 5,740.48
4. Step 4: Simplify right side
   9,719.92x = 76,990,858.52
5. Step 5: Solve for x
   x = 76,990,858.52/9,719.92
6. Step 6: Final answer
   x = 7,920.94