Finding the Fourth Proportional to 10,462.09, 14,437.87 and 5,682.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.09 : 14,437.87 = 5,682.03 : x
2. Step 2: Convert to fraction form
   10,462.09/14,437.87 = 5,682.03/x
3. Step 3: Cross multiply
   10,462.09x = 14,437.87 × 5,682.03
4. Step 4: Simplify right side
   10,462.09x = 82,036,455.30
5. Step 5: Solve for x
   x = 82,036,455.30/10,462.09
6. Step 6: Final answer
   x = 7,841.31