Finding the Fourth Proportional to 10,420.34, 14,380.43 and 5,704.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.34 : 14,380.43 = 5,704.65 : x
2. Step 2: Convert to fraction form
   10,420.34/14,380.43 = 5,704.65/x
3. Step 3: Cross multiply
   10,420.34x = 14,380.43 × 5,704.65
4. Step 4: Simplify right side
   10,420.34x = 82,035,291.48
5. Step 5: Solve for x
   x = 82,035,291.48/10,420.34
6. Step 6: Final answer
   x = 7,872.62