Finding the Fourth Proportional to 1,056.27, 1,459.61 and 809.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,056.27 : 1,459.61 = 809.32 : x
2. Step 2: Convert to fraction form
   1,056.27/1,459.61 = 809.32/x
3. Step 3: Cross multiply
   1,056.27x = 1,459.61 × 809.32
4. Step 4: Simplify right side
   1,056.27x = 1,181,291.57
5. Step 5: Solve for x
   x = 1,181,291.57/1,056.27
6. Step 6: Final answer
   x = 1,118.36