Finding the Fourth Proportional to 1,406.74, 1,941.27 and 817.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.74 : 1,941.27 = 817.27 : x
2. Step 2: Convert to fraction form
   1,406.74/1,941.27 = 817.27/x
3. Step 3: Cross multiply
   1,406.74x = 1,941.27 × 817.27
4. Step 4: Simplify right side
   1,406.74x = 1,586,541.73
5. Step 5: Solve for x
   x = 1,586,541.73/1,406.74
6. Step 6: Final answer
   x = 1,127.81