Finding the Fourth Proportional to 10,420.13, 14,379.78 and 5,704.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.13 : 14,379.78 = 5,704.41 : x
2. Step 2: Convert to fraction form
   10,420.13/14,379.78 = 5,704.41/x
3. Step 3: Cross multiply
   10,420.13x = 14,379.78 × 5,704.41
4. Step 4: Simplify right side
   10,420.13x = 82,028,160.83
5. Step 5: Solve for x
   x = 82,028,160.83/10,420.13
6. Step 6: Final answer
   x = 7,872.09