Finding the Fourth Proportional to 10,462.98, 14,438.87 and 5,682.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.98 : 14,438.87 = 5,682.89 : x
2. Step 2: Convert to fraction form
   10,462.98/14,438.87 = 5,682.89/x
3. Step 3: Cross multiply
   10,462.98x = 14,438.87 × 5,682.89
4. Step 4: Simplify right side
   10,462.98x = 82,054,509.93
5. Step 5: Solve for x
   x = 82,054,509.93/10,462.98
6. Step 6: Final answer
   x = 7,842.37