Finding the Fourth Proportional to 10,456.20, 14,429.59 and 5,740.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.20 : 14,429.59 = 5,740.79 : x
2. Step 2: Convert to fraction form
   10,456.20/14,429.59 = 5,740.79/x
3. Step 3: Cross multiply
   10,456.20x = 14,429.59 × 5,740.79
4. Step 4: Simplify right side
   10,456.20x = 82,837,181.20
5. Step 5: Solve for x
   x = 82,837,181.20/10,456.20
6. Step 6: Final answer
   x = 7,922.30