Finding the Fourth Proportional to 1,419.84, 1,959.39 and 830.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.84 : 1,959.39 = 830.42 : x
2. Step 2: Convert to fraction form
   1,419.84/1,959.39 = 830.42/x
3. Step 3: Cross multiply
   1,419.84x = 1,959.39 × 830.42
4. Step 4: Simplify right side
   1,419.84x = 1,627,106.85
5. Step 5: Solve for x
   x = 1,627,106.85/1,419.84
6. Step 6: Final answer
   x = 1,145.98