Finding the Fourth Proportional to 10,420.21, 14,379.89 and 5,704.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.21 : 14,379.89 = 5,704.49 : x
2. Step 2: Convert to fraction form
   10,420.21/14,379.89 = 5,704.49/x
3. Step 3: Cross multiply
   10,420.21x = 14,379.89 × 5,704.49
4. Step 4: Simplify right side
   10,420.21x = 82,029,893.49
5. Step 5: Solve for x
   x = 82,029,893.49/10,420.21
6. Step 6: Final answer
   x = 7,872.19