Finding the Fourth Proportional to 10,419.84, 14,379.73 and 5,704.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.84 : 14,379.73 = 5,704.22 : x
2. Step 2: Convert to fraction form
   10,419.84/14,379.73 = 5,704.22/x
3. Step 3: Cross multiply
   10,419.84x = 14,379.73 × 5,704.22
4. Step 4: Simplify right side
   10,419.84x = 82,025,165.15
5. Step 5: Solve for x
   x = 82,025,165.15/10,419.84
6. Step 6: Final answer
   x = 7,872.02