Finding the Fourth Proportional to 6,096.61, 9,148.42 and 2,586.34

Step by Step Solution

1. Step 1: Write the proportion equation
   6,096.61 : 9,148.42 = 2,586.34 : x
2. Step 2: Convert to fraction form
   6,096.61/9,148.42 = 2,586.34/x
3. Step 3: Cross multiply
   6,096.61x = 9,148.42 × 2,586.34
4. Step 4: Simplify right side
   6,096.61x = 23,660,872.37
5. Step 5: Solve for x
   x = 23,660,872.37/6,096.61
6. Step 6: Final answer
   x = 3,880.99