Finding the Fourth Proportional to 9,946.56, 13,724.73 and 5,754

Step by Step Solution

1. Step 1: Write the proportion equation
   9,946.56 : 13,724.73 = 5,754 : x
2. Step 2: Convert to fraction form
   9,946.56/13,724.73 = 5,754/x
3. Step 3: Cross multiply
   9,946.56x = 13,724.73 × 5,754
4. Step 4: Simplify right side
   9,946.56x = 78,972,096.42
5. Step 5: Solve for x
   x = 78,972,096.42/9,946.56
6. Step 6: Final answer
   x = 7,939.64