Finding the Fourth Proportional to 2,605.16, 3,912.22 and 2,585

Step by Step Solution

1. Step 1: Write the proportion equation
   2,605.16 : 3,912.22 = 2,585 : x
2. Step 2: Convert to fraction form
   2,605.16/3,912.22 = 2,585/x
3. Step 3: Cross multiply
   2,605.16x = 3,912.22 × 2,585
4. Step 4: Simplify right side
   2,605.16x = 10,113,088.70
5. Step 5: Solve for x
   x = 10,113,088.70/2,605.16
6. Step 6: Final answer
   x = 3,881.95