Finding the Fourth Proportional to 9,724.14, 13,419.32 and 5,693.73

Step by Step Solution

1. Step 1: Write the proportion equation
   9,724.14 : 13,419.32 = 5,693.73 : x
2. Step 2: Convert to fraction form
   9,724.14/13,419.32 = 5,693.73/x
3. Step 3: Cross multiply
   9,724.14x = 13,419.32 × 5,693.73
4. Step 4: Simplify right side
   9,724.14x = 76,405,956.39
5. Step 5: Solve for x
   x = 76,405,956.39/9,724.14
6. Step 6: Final answer
   x = 7,857.35