Finding the Fourth Proportional to 1,419.76, 1,959.38 and 830.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.76 : 1,959.38 = 830.18 : x
2. Step 2: Convert to fraction form
   1,419.76/1,959.38 = 830.18/x
3. Step 3: Cross multiply
   1,419.76x = 1,959.38 × 830.18
4. Step 4: Simplify right side
   1,419.76x = 1,626,638.09
5. Step 5: Solve for x
   x = 1,626,638.09/1,419.76
6. Step 6: Final answer
   x = 1,145.71