Finding the Fourth Proportional to 1,426.52, 1,968.78 and 805.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.52 : 1,968.78 = 805.64 : x
2. Step 2: Convert to fraction form
   1,426.52/1,968.78 = 805.64/x
3. Step 3: Cross multiply
   1,426.52x = 1,968.78 × 805.64
4. Step 4: Simplify right side
   1,426.52x = 1,586,127.92
5. Step 5: Solve for x
   x = 1,586,127.92/1,426.52
6. Step 6: Final answer
   x = 1,111.89