Finding the Fourth Proportional to 10,419.80, 14,379.22 and 5,704.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.80 : 14,379.22 = 5,704.07 : x
2. Step 2: Convert to fraction form
   10,419.80/14,379.22 = 5,704.07/x
3. Step 3: Cross multiply
   10,419.80x = 14,379.22 × 5,704.07
4. Step 4: Simplify right side
   10,419.80x = 82,019,991.27
5. Step 5: Solve for x
   x = 82,019,991.27/10,419.80
6. Step 6: Final answer
   x = 7,871.56