Finding the Fourth Proportional to 2,550.84, 3,827.56 and 1,089.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,550.84 : 3,827.56 = 1,089.60 : x
2. Step 2: Convert to fraction form
   2,550.84/3,827.56 = 1,089.60/x
3. Step 3: Cross multiply
   2,550.84x = 3,827.56 × 1,089.60
4. Step 4: Simplify right side
   2,550.84x = 4,170,509.38
5. Step 5: Solve for x
   x = 4,170,509.38/2,550.84
6. Step 6: Final answer
   x = 1,634.96