Finding the Fourth Proportional to 10,462.49, 14,438.18 and 5,682.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.49 : 14,438.18 = 5,682.40 : x
2. Step 2: Convert to fraction form
   10,462.49/14,438.18 = 5,682.40/x
3. Step 3: Cross multiply
   10,462.49x = 14,438.18 × 5,682.40
4. Step 4: Simplify right side
   10,462.49x = 82,043,514.03
5. Step 5: Solve for x
   x = 82,043,514.03/10,462.49
6. Step 6: Final answer
   x = 7,841.68