Finding the Fourth Proportional to 10,462.87, 14,438.80 and 5,682.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.87 : 14,438.80 = 5,682.82 : x
2. Step 2: Convert to fraction form
   10,462.87/14,438.80 = 5,682.82/x
3. Step 3: Cross multiply
   10,462.87x = 14,438.80 × 5,682.82
4. Step 4: Simplify right side
   10,462.87x = 82,053,101.42
5. Step 5: Solve for x
   x = 82,053,101.42/10,462.87
6. Step 6: Final answer
   x = 7,842.31