Finding the Fourth Proportional to 6,095.62, 9,141.59 and 2,585.55

Step by Step Solution

1. Step 1: Write the proportion equation
   6,095.62 : 9,141.59 = 2,585.55 : x
2. Step 2: Convert to fraction form
   6,095.62/9,141.59 = 2,585.55/x
3. Step 3: Cross multiply
   6,095.62x = 9,141.59 × 2,585.55
4. Step 4: Simplify right side
   6,095.62x = 23,636,078.77
5. Step 5: Solve for x
   x = 23,636,078.77/6,095.62
6. Step 6: Final answer
   x = 3,877.55