Finding the Fourth Proportional to 2,552.88, 3,829.56 and 909.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.88 : 3,829.56 = 909.60 : x
2. Step 2: Convert to fraction form
   2,552.88/3,829.56 = 909.60/x
3. Step 3: Cross multiply
   2,552.88x = 3,829.56 × 909.60
4. Step 4: Simplify right side
   2,552.88x = 3,483,367.78
5. Step 5: Solve for x
   x = 3,483,367.78/2,552.88
6. Step 6: Final answer
   x = 1,364.49