Finding the Fourth Proportional to 10,419.90, 14,379.34 and 5,704.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.90 : 14,379.34 = 5,704.12 : x
2. Step 2: Convert to fraction form
   10,419.90/14,379.34 = 5,704.12/x
3. Step 3: Cross multiply
   10,419.90x = 14,379.34 × 5,704.12
4. Step 4: Simplify right side
   10,419.90x = 82,021,480.88
5. Step 5: Solve for x
   x = 82,021,480.88/10,419.90
6. Step 6: Final answer
   x = 7,871.62