Finding the Fourth Proportional to 9,923.50, 13,694.43 and 5,731.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,923.50 : 13,694.43 = 5,731.75 : x
2. Step 2: Convert to fraction form
   9,923.50/13,694.43 = 5,731.75/x
3. Step 3: Cross multiply
   9,923.50x = 13,694.43 × 5,731.75
4. Step 4: Simplify right side
   9,923.50x = 78,493,049.15
5. Step 5: Solve for x
   x = 78,493,049.15/9,923.50
6. Step 6: Final answer
   x = 7,909.82