Finding the Fourth Proportional to 10,420.14, 14,379.72 and 5,704.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,420.14 : 14,379.72 = 5,704.32 : x
2. Step 2: Convert to fraction form
   10,420.14/14,379.72 = 5,704.32/x
3. Step 3: Cross multiply
   10,420.14x = 14,379.72 × 5,704.32
4. Step 4: Simplify right side
   10,420.14x = 82,026,524.39
5. Step 5: Solve for x
   x = 82,026,524.39/10,420.14
6. Step 6: Final answer
   x = 7,871.92