Finding the Fourth Proportional to 2,553.20, 3,828.52 and 909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,553.20 : 3,828.52 = 909.50 : x
2. Step 2: Convert to fraction form
   2,553.20/3,828.52 = 909.50/x
3. Step 3: Cross multiply
   2,553.20x = 3,828.52 × 909.50
4. Step 4: Simplify right side
   2,553.20x = 3,482,038.94
5. Step 5: Solve for x
   x = 3,482,038.94/2,553.20
6. Step 6: Final answer
   x = 1,363.79