Finding the Fourth Proportional to 10,420.42, 14,380.14 and 5,704.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.42 : 14,380.14 = 5,704.78 : x
2. Step 2: Convert to fraction form
   10,420.42/14,380.14 = 5,704.78/x
3. Step 3: Cross multiply
   10,420.42x = 14,380.14 × 5,704.78
4. Step 4: Simplify right side
   10,420.42x = 82,035,535.07
5. Step 5: Solve for x
   x = 82,035,535.07/10,420.42
6. Step 6: Final answer
   x = 7,872.57