Finding the Fourth Proportional to 1,419.57, 1,958.94 and 822.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.57 : 1,958.94 = 822.18 : x
2. Step 2: Convert to fraction form
   1,419.57/1,958.94 = 822.18/x
3. Step 3: Cross multiply
   1,419.57x = 1,958.94 × 822.18
4. Step 4: Simplify right side
   1,419.57x = 1,610,601.29
5. Step 5: Solve for x
   x = 1,610,601.29/1,419.57
6. Step 6: Final answer
   x = 1,134.57