Finding the Fourth Proportional to 9,946.68, 13,724.90 and 5,754.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,946.68 : 13,724.90 = 5,754.12 : x
2. Step 2: Convert to fraction form
   9,946.68/13,724.90 = 5,754.12/x
3. Step 3: Cross multiply
   9,946.68x = 13,724.90 × 5,754.12
4. Step 4: Simplify right side
   9,946.68x = 78,974,721.59
5. Step 5: Solve for x
   x = 78,974,721.59/9,946.68
6. Step 6: Final answer
   x = 7,939.81