Finding the Fourth Proportional to 10,420.68, 14,380.74 and 5,704.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.68 : 14,380.74 = 5,704.86 : x
2. Step 2: Convert to fraction form
   10,420.68/14,380.74 = 5,704.86/x
3. Step 3: Cross multiply
   10,420.68x = 14,380.74 × 5,704.86
4. Step 4: Simplify right side
   10,420.68x = 82,040,108.40
5. Step 5: Solve for x
   x = 82,040,108.40/10,420.68
6. Step 6: Final answer
   x = 7,872.82