Finding the Fourth Proportional to 1,417.33, 1,956.45 and 827.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.33 : 1,956.45 = 827.88 : x
2. Step 2: Convert to fraction form
   1,417.33/1,956.45 = 827.88/x
3. Step 3: Cross multiply
   1,417.33x = 1,956.45 × 827.88
4. Step 4: Simplify right side
   1,417.33x = 1,619,705.83
5. Step 5: Solve for x
   x = 1,619,705.83/1,417.33
6. Step 6: Final answer
   x = 1,142.79