Finding the Fourth Proportional to 10,420.02, 14,379.48 and 5,704.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.02 : 14,379.48 = 5,704.20 : x
2. Step 2: Convert to fraction form
   10,420.02/14,379.48 = 5,704.20/x
3. Step 3: Cross multiply
   10,420.02x = 14,379.48 × 5,704.20
4. Step 4: Simplify right side
   10,420.02x = 82,023,429.82
5. Step 5: Solve for x
   x = 82,023,429.82/10,420.02
6. Step 6: Final answer
   x = 7,871.72