Finding the Fourth Proportional to 10,420.56, 14,380.20 and 5,704.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.56 : 14,380.20 = 5,704.74 : x
2. Step 2: Convert to fraction form
   10,420.56/14,380.20 = 5,704.74/x
3. Step 3: Cross multiply
   10,420.56x = 14,380.20 × 5,704.74
4. Step 4: Simplify right side
   10,420.56x = 82,035,302.15
5. Step 5: Solve for x
   x = 82,035,302.15/10,420.56
6. Step 6: Final answer
   x = 7,872.45