Finding the Fourth Proportional to 1,419.83, 1,959.59 and 830.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.83 : 1,959.59 = 830.35 : x
2. Step 2: Convert to fraction form
   1,419.83/1,959.59 = 830.35/x
3. Step 3: Cross multiply
   1,419.83x = 1,959.59 × 830.35
4. Step 4: Simplify right side
   1,419.83x = 1,627,150.08
5. Step 5: Solve for x
   x = 1,627,150.08/1,419.83
6. Step 6: Final answer
   x = 1,146.02