Finding the Fourth Proportional to 1,290.30, 1,782.82 and 1,149.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,290.30 : 1,782.82 = 1,149.18 : x
2. Step 2: Convert to fraction form
   1,290.30/1,782.82 = 1,149.18/x
3. Step 3: Cross multiply
   1,290.30x = 1,782.82 × 1,149.18
4. Step 4: Simplify right side
   1,290.30x = 2,048,781.09
5. Step 5: Solve for x
   x = 2,048,781.09/1,290.30
6. Step 6: Final answer
   x = 1,587.83