Finding the Fourth Proportional to 1,608.50, 2,219.82 and 909.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.50 : 2,219.82 = 909.92 : x
2. Step 2: Convert to fraction form
   1,608.50/2,219.82 = 909.92/x
3. Step 3: Cross multiply
   1,608.50x = 2,219.82 × 909.92
4. Step 4: Simplify right side
   1,608.50x = 2,019,858.61
5. Step 5: Solve for x
   x = 2,019,858.61/1,608.50
6. Step 6: Final answer
   x = 1,255.74