Finding the Fourth Proportional to 1,419.75, 1,959.26 and 830.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.75 : 1,959.26 = 830.79 : x
2. Step 2: Convert to fraction form
   1,419.75/1,959.26 = 830.79/x
3. Step 3: Cross multiply
   1,419.75x = 1,959.26 × 830.79
4. Step 4: Simplify right side
   1,419.75x = 1,627,729.46
5. Step 5: Solve for x
   x = 1,627,729.46/1,419.75
6. Step 6: Final answer
   x = 1,146.49