Finding the Fourth Proportional to 1,314.20, 1,801.82 and 1,290.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,314.20 : 1,801.82 = 1,290.78 : x
2. Step 2: Convert to fraction form
   1,314.20/1,801.82 = 1,290.78/x
3. Step 3: Cross multiply
   1,314.20x = 1,801.82 × 1,290.78
4. Step 4: Simplify right side
   1,314.20x = 2,325,753.22
5. Step 5: Solve for x
   x = 2,325,753.22/1,314.20
6. Step 6: Final answer
   x = 1,769.71