Finding the Fourth Proportional to 1,419.70, 1,958.78 and 830.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.70 : 1,958.78 = 830.22 : x
2. Step 2: Convert to fraction form
   1,419.70/1,958.78 = 830.22/x
3. Step 3: Cross multiply
   1,419.70x = 1,958.78 × 830.22
4. Step 4: Simplify right side
   1,419.70x = 1,626,218.33
5. Step 5: Solve for x
   x = 1,626,218.33/1,419.70
6. Step 6: Final answer
   x = 1,145.47