Finding the Fourth Proportional to 1,419.96, 1,959.39 and 830.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.96 : 1,959.39 = 830.46 : x
2. Step 2: Convert to fraction form
   1,419.96/1,959.39 = 830.46/x
3. Step 3: Cross multiply
   1,419.96x = 1,959.39 × 830.46
4. Step 4: Simplify right side
   1,419.96x = 1,627,195.02
5. Step 5: Solve for x
   x = 1,627,195.02/1,419.96
6. Step 6: Final answer
   x = 1,145.94