Finding the Fourth Proportional to 10,462.74, 14,438.56 and 5,682.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.74 : 14,438.56 = 5,682.66 : x
2. Step 2: Convert to fraction form
   10,462.74/14,438.56 = 5,682.66/x
3. Step 3: Cross multiply
   10,462.74x = 14,438.56 × 5,682.66
4. Step 4: Simplify right side
   10,462.74x = 82,049,427.37
5. Step 5: Solve for x
   x = 82,049,427.37/10,462.74
6. Step 6: Final answer
   x = 7,842.06