Finding the Fourth Proportional to 1,417.81, 1,956.81 and 820.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.81 : 1,956.81 = 820.33 : x
2. Step 2: Convert to fraction form
   1,417.81/1,956.81 = 820.33/x
3. Step 3: Cross multiply
   1,417.81x = 1,956.81 × 820.33
4. Step 4: Simplify right side
   1,417.81x = 1,605,229.95
5. Step 5: Solve for x
   x = 1,605,229.95/1,417.81
6. Step 6: Final answer
   x = 1,132.19