Finding the Fourth Proportional to 6,456.71, 9,682.88 and 3,126.53

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456.71 : 9,682.88 = 3,126.53 : x
2. Step 2: Convert to fraction form
   6,456.71/9,682.88 = 3,126.53/x
3. Step 3: Cross multiply
   6,456.71x = 9,682.88 × 3,126.53
4. Step 4: Simplify right side
   6,456.71x = 30,273,823.38
5. Step 5: Solve for x
   x = 30,273,823.38/6,456.71
6. Step 6: Final answer
   x = 4,688.74