Finding the Fourth Proportional to 6,586.34, 9,878.42 and 3,076.71

Step by Step Solution

1. Step 1: Write the proportion equation
   6,586.34 : 9,878.42 = 3,076.71 : x
2. Step 2: Convert to fraction form
   6,586.34/9,878.42 = 3,076.71/x
3. Step 3: Cross multiply
   6,586.34x = 9,878.42 × 3,076.71
4. Step 4: Simplify right side
   6,586.34x = 30,393,033.60
5. Step 5: Solve for x
   x = 30,393,033.60/6,586.34
6. Step 6: Final answer
   x = 4,614.56