Finding the Fourth Proportional to 1,406.54, 1,941.30 and 817.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.54 : 1,941.30 = 817.06 : x
2. Step 2: Convert to fraction form
   1,406.54/1,941.30 = 817.06/x
3. Step 3: Cross multiply
   1,406.54x = 1,941.30 × 817.06
4. Step 4: Simplify right side
   1,406.54x = 1,586,158.58
5. Step 5: Solve for x
   x = 1,586,158.58/1,406.54
6. Step 6: Final answer
   x = 1,127.70