Finding the Fourth Proportional to 1,419.77, 1,959.18 and 830.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.77 : 1,959.18 = 830.18 : x
2. Step 2: Convert to fraction form
   1,419.77/1,959.18 = 830.18/x
3. Step 3: Cross multiply
   1,419.77x = 1,959.18 × 830.18
4. Step 4: Simplify right side
   1,419.77x = 1,626,472.05
5. Step 5: Solve for x
   x = 1,626,472.05/1,419.77
6. Step 6: Final answer
   x = 1,145.59