Finding the Fourth Proportional to 1,419.92, 1,959.35 and 830.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.92 : 1,959.35 = 830.34 : x
2. Step 2: Convert to fraction form
   1,419.92/1,959.35 = 830.34/x
3. Step 3: Cross multiply
   1,419.92x = 1,959.35 × 830.34
4. Step 4: Simplify right side
   1,419.92x = 1,626,926.68
5. Step 5: Solve for x
   x = 1,626,926.68/1,419.92
6. Step 6: Final answer
   x = 1,145.79