Finding the Fourth Proportional to 1,417.31, 1,955.90 and 827.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.31 : 1,955.90 = 827.84 : x
2. Step 2: Convert to fraction form
   1,417.31/1,955.90 = 827.84/x
3. Step 3: Cross multiply
   1,417.31x = 1,955.90 × 827.84
4. Step 4: Simplify right side
   1,417.31x = 1,619,158.34
5. Step 5: Solve for x
   x = 1,619,158.34/1,417.31
6. Step 6: Final answer
   x = 1,142.41