Finding the Fourth Proportional to 2,555.25, 3,835.55 and 2,264.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,555.25 : 3,835.55 = 2,264.61 : x
2. Step 2: Convert to fraction form
   2,555.25/3,835.55 = 2,264.61/x
3. Step 3: Cross multiply
   2,555.25x = 3,835.55 × 2,264.61
4. Step 4: Simplify right side
   2,555.25x = 8,686,024.89
5. Step 5: Solve for x
   x = 8,686,024.89/2,555.25
6. Step 6: Final answer
   x = 3,399.29