Finding the Fourth Proportional to 1,419.91, 1,959.48 and 830.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.91 : 1,959.48 = 830.32 : x
2. Step 2: Convert to fraction form
   1,419.91/1,959.48 = 830.32/x
3. Step 3: Cross multiply
   1,419.91x = 1,959.48 × 830.32
4. Step 4: Simplify right side
   1,419.91x = 1,626,990.53
5. Step 5: Solve for x
   x = 1,626,990.53/1,419.91
6. Step 6: Final answer
   x = 1,145.84