Finding the Fourth Proportional to 1,417.57, 1,955.56 and 827.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.57 : 1,955.56 = 827.75 : x
2. Step 2: Convert to fraction form
   1,417.57/1,955.56 = 827.75/x
3. Step 3: Cross multiply
   1,417.57x = 1,955.56 × 827.75
4. Step 4: Simplify right side
   1,417.57x = 1,618,714.79
5. Step 5: Solve for x
   x = 1,618,714.79/1,417.57
6. Step 6: Final answer
   x = 1,141.89