Finding the Fourth Proportional to 10,456.42, 14,429.82 and 5,740.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,456.42 : 14,429.82 = 5,740.70 : x
2. Step 2: Convert to fraction form
   10,456.42/14,429.82 = 5,740.70/x
3. Step 3: Cross multiply
   10,456.42x = 14,429.82 × 5,740.70
4. Step 4: Simplify right side
   10,456.42x = 82,837,267.67
5. Step 5: Solve for x
   x = 82,837,267.67/10,456.42
6. Step 6: Final answer
   x = 7,922.14