Finding the Fourth Proportional to 1,609.50, 2,221.25 and 1,019.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,609.50 : 2,221.25 = 1,019.82 : x
2. Step 2: Convert to fraction form
   1,609.50/2,221.25 = 1,019.82/x
3. Step 3: Cross multiply
   1,609.50x = 2,221.25 × 1,019.82
4. Step 4: Simplify right side
   1,609.50x = 2,265,270.08
5. Step 5: Solve for x
   x = 2,265,270.08/1,609.50
6. Step 6: Final answer
   x = 1,407.44