Finding the Fourth Proportional to 10,462.24, 14,437.84 and 5,682.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.24 : 14,437.84 = 5,682.15 : x
2. Step 2: Convert to fraction form
   10,462.24/14,437.84 = 5,682.15/x
3. Step 3: Cross multiply
   10,462.24x = 14,437.84 × 5,682.15
4. Step 4: Simplify right side
   10,462.24x = 82,037,871.96
5. Step 5: Solve for x
   x = 82,037,871.96/10,462.24
6. Step 6: Final answer
   x = 7,841.33