Finding the Fourth Proportional to 1,419.18, 1,958.50 and 789.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.18 : 1,958.50 = 789.74 : x
2. Step 2: Convert to fraction form
   1,419.18/1,958.50 = 789.74/x
3. Step 3: Cross multiply
   1,419.18x = 1,958.50 × 789.74
4. Step 4: Simplify right side
   1,419.18x = 1,546,694.02
5. Step 5: Solve for x
   x = 1,546,694.02/1,419.18
6. Step 6: Final answer
   x = 1,089.85