Finding the Fourth Proportional to 1,609.20, 2,217.86 and 1,327.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,609.20 : 2,217.86 = 1,327.78 : x
2. Step 2: Convert to fraction form
   1,609.20/2,217.86 = 1,327.78/x
3. Step 3: Cross multiply
   1,609.20x = 2,217.86 × 1,327.78
4. Step 4: Simplify right side
   1,609.20x = 2,944,830.15
5. Step 5: Solve for x
   x = 2,944,830.15/1,609.20
6. Step 6: Final answer
   x = 1,830.00