Finding the Fourth Proportional to 1,417.05, 1,954.74 and 827.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.05 : 1,954.74 = 827.37 : x
2. Step 2: Convert to fraction form
   1,417.05/1,954.74 = 827.37/x
3. Step 3: Cross multiply
   1,417.05x = 1,954.74 × 827.37
4. Step 4: Simplify right side
   1,417.05x = 1,617,293.23
5. Step 5: Solve for x
   x = 1,617,293.23/1,417.05
6. Step 6: Final answer
   x = 1,141.31