Finding the Fourth Proportional to 10,462.39, 14,438.25 and 5,682.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.39 : 14,438.25 = 5,682.35 : x
2. Step 2: Convert to fraction form
   10,462.39/14,438.25 = 5,682.35/x
3. Step 3: Cross multiply
   10,462.39x = 14,438.25 × 5,682.35
4. Step 4: Simplify right side
   10,462.39x = 82,043,225.98
5. Step 5: Solve for x
   x = 82,043,225.98/10,462.39
6. Step 6: Final answer
   x = 7,841.73