Finding the Fourth Proportional to 1,426.50, 1,968.84 and 805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.50 : 1,968.84 = 805.50 : x
2. Step 2: Convert to fraction form
   1,426.50/1,968.84 = 805.50/x
3. Step 3: Cross multiply
   1,426.50x = 1,968.84 × 805.50
4. Step 4: Simplify right side
   1,426.50x = 1,585,900.62
5. Step 5: Solve for x
   x = 1,585,900.62/1,426.50
6. Step 6: Final answer
   x = 1,111.74