Finding the Fourth Proportional to 1,417.63, 1,955.96 and 827.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.63 : 1,955.96 = 827.83 : x
2. Step 2: Convert to fraction form
   1,417.63/1,955.96 = 827.83/x
3. Step 3: Cross multiply
   1,417.63x = 1,955.96 × 827.83
4. Step 4: Simplify right side
   1,417.63x = 1,619,202.37
5. Step 5: Solve for x
   x = 1,619,202.37/1,417.63
6. Step 6: Final answer
   x = 1,142.19