Finding the Fourth Proportional to 10,420.74, 14,380.46 and 5,705

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.74 : 14,380.46 = 5,705 : x
2. Step 2: Convert to fraction form
   10,420.74/14,380.46 = 5,705/x
3. Step 3: Cross multiply
   10,420.74x = 14,380.46 × 5,705
4. Step 4: Simplify right side
   10,420.74x = 82,040,524.30
5. Step 5: Solve for x
   x = 82,040,524.30/10,420.74
6. Step 6: Final answer
   x = 7,872.81