Finding the Fourth Proportional to 10,974.16, 16,462.50 and 3,182.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,974.16 : 16,462.50 = 3,182.68 : x
2. Step 2: Convert to fraction form
   10,974.16/16,462.50 = 3,182.68/x
3. Step 3: Cross multiply
   10,974.16x = 16,462.50 × 3,182.68
4. Step 4: Simplify right side
   10,974.16x = 52,394,869.50
5. Step 5: Solve for x
   x = 52,394,869.50/10,974.16
6. Step 6: Final answer
   x = 4,774.39