Finding the Fourth Proportional to 6,096.86, 9,144.56 and 2,587.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,096.86 : 9,144.56 = 2,587.38 : x
2. Step 2: Convert to fraction form
   6,096.86/9,144.56 = 2,587.38/x
3. Step 3: Cross multiply
   6,096.86x = 9,144.56 × 2,587.38
4. Step 4: Simplify right side
   6,096.86x = 23,660,451.65
5. Step 5: Solve for x
   x = 23,660,451.65/6,096.86
6. Step 6: Final answer
   x = 3,880.76