Finding the Fourth Proportional to 1,419.25, 1,958.66 and 821.85

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.25 : 1,958.66 = 821.85 : x
2. Step 2: Convert to fraction form
   1,419.25/1,958.66 = 821.85/x
3. Step 3: Cross multiply
   1,419.25x = 1,958.66 × 821.85
4. Step 4: Simplify right side
   1,419.25x = 1,609,724.72
5. Step 5: Solve for x
   x = 1,609,724.72/1,419.25
6. Step 6: Final answer
   x = 1,134.21