Finding the Fourth Proportional to 10,462.44, 14,438.68 and 5,746.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.44 : 14,438.68 = 5,746.82 : x
2. Step 2: Convert to fraction form
   10,462.44/14,438.68 = 5,746.82/x
3. Step 3: Cross multiply
   10,462.44x = 14,438.68 × 5,746.82
4. Step 4: Simplify right side
   10,462.44x = 82,976,516.73
5. Step 5: Solve for x
   x = 82,976,516.73/10,462.44
6. Step 6: Final answer
   x = 7,930.90