Finding the Fourth Proportional to 2,552.84, 3,829.52 and 909.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.84 : 3,829.52 = 909.52 : x
2. Step 2: Convert to fraction form
   2,552.84/3,829.52 = 909.52/x
3. Step 3: Cross multiply
   2,552.84x = 3,829.52 × 909.52
4. Step 4: Simplify right side
   2,552.84x = 3,483,025.03
5. Step 5: Solve for x
   x = 3,483,025.03/2,552.84
6. Step 6: Final answer
   x = 1,364.37