Finding the Fourth Proportional to 2,608.06, 3,892.50 and 2,255.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,608.06 : 3,892.50 = 2,255.10 : x
2. Step 2: Convert to fraction form
   2,608.06/3,892.50 = 2,255.10/x
3. Step 3: Cross multiply
   2,608.06x = 3,892.50 × 2,255.10
4. Step 4: Simplify right side
   2,608.06x = 8,777,980.84
5. Step 5: Solve for x
   x = 8,777,980.84/2,608.06
6. Step 6: Final answer
   x = 3,365.71