Finding the Fourth Proportional to 10,419.96, 14,379.42 and 5,704.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.96 : 14,379.42 = 5,704.20 : x
2. Step 2: Convert to fraction form
   10,419.96/14,379.42 = 5,704.20/x
3. Step 3: Cross multiply
   10,419.96x = 14,379.42 × 5,704.20
4. Step 4: Simplify right side
   10,419.96x = 82,023,087.56
5. Step 5: Solve for x
   x = 82,023,087.56/10,419.96
6. Step 6: Final answer
   x = 7,871.73