Finding the Fourth Proportional to 1,290.93, 1,782.15 and 819.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,290.93 : 1,782.15 = 819.33 : x
2. Step 2: Convert to fraction form
   1,290.93/1,782.15 = 819.33/x
3. Step 3: Cross multiply
   1,290.93x = 1,782.15 × 819.33
4. Step 4: Simplify right side
   1,290.93x = 1,460,168.96
5. Step 5: Solve for x
   x = 1,460,168.96/1,290.93
6. Step 6: Final answer
   x = 1,131.10