Finding the Fourth Proportional to 1,419.78, 1,959.30 and 798.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.78 : 1,959.30 = 798.78 : x
2. Step 2: Convert to fraction form
   1,419.78/1,959.30 = 798.78/x
3. Step 3: Cross multiply
   1,419.78x = 1,959.30 × 798.78
4. Step 4: Simplify right side
   1,419.78x = 1,565,049.65
5. Step 5: Solve for x
   x = 1,565,049.65/1,419.78
6. Step 6: Final answer
   x = 1,102.32