Finding the Fourth Proportional to 10,419.83, 14,379.59 and 5,704.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.83 : 14,379.59 = 5,704.41 : x
2. Step 2: Convert to fraction form
   10,419.83/14,379.59 = 5,704.41/x
3. Step 3: Cross multiply
   10,419.83x = 14,379.59 × 5,704.41
4. Step 4: Simplify right side
   10,419.83x = 82,027,076.99
5. Step 5: Solve for x
   x = 82,027,076.99/10,419.83
6. Step 6: Final answer
   x = 7,872.21