Finding the Fourth Proportional to 6,096.26, 9,147.72 and 2,585.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,096.26 : 9,147.72 = 2,585.72 : x
2. Step 2: Convert to fraction form
   6,096.26/9,147.72 = 2,585.72/x
3. Step 3: Cross multiply
   6,096.26x = 9,147.72 × 2,585.72
4. Step 4: Simplify right side
   6,096.26x = 23,653,442.56
5. Step 5: Solve for x
   x = 23,653,442.56/6,096.26
6. Step 6: Final answer
   x = 3,879.99