Finding the Fourth Proportional to 1,419.15, 1,958.32 and 789.66

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.15 : 1,958.32 = 789.66 : x
2. Step 2: Convert to fraction form
   1,419.15/1,958.32 = 789.66/x
3. Step 3: Cross multiply
   1,419.15x = 1,958.32 × 789.66
4. Step 4: Simplify right side
   1,419.15x = 1,546,403.02
5. Step 5: Solve for x
   x = 1,546,403.02/1,419.15
6. Step 6: Final answer
   x = 1,089.67