Finding the Fourth Proportional to 1,419.90, 1,959.03 and 798.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.90 : 1,959.03 = 798.78 : x
2. Step 2: Convert to fraction form
   1,419.90/1,959.03 = 798.78/x
3. Step 3: Cross multiply
   1,419.90x = 1,959.03 × 798.78
4. Step 4: Simplify right side
   1,419.90x = 1,564,833.98
5. Step 5: Solve for x
   x = 1,564,833.98/1,419.90
6. Step 6: Final answer
   x = 1,102.07