Finding the Fourth Proportional to 10,420.17, 14,379.83 and 5,704.45

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.17 : 14,379.83 = 5,704.45 : x
2. Step 2: Convert to fraction form
   10,420.17/14,379.83 = 5,704.45/x
3. Step 3: Cross multiply
   10,420.17x = 14,379.83 × 5,704.45
4. Step 4: Simplify right side
   10,420.17x = 82,029,021.24
5. Step 5: Solve for x
   x = 82,029,021.24/10,420.17
6. Step 6: Final answer
   x = 7,872.14