Finding the Fourth Proportional to 1,419.65, 1,959.24 and 790.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.65 : 1,959.24 = 790.40 : x
2. Step 2: Convert to fraction form
   1,419.65/1,959.24 = 790.40/x
3. Step 3: Cross multiply
   1,419.65x = 1,959.24 × 790.40
4. Step 4: Simplify right side
   1,419.65x = 1,548,583.30
5. Step 5: Solve for x
   x = 1,548,583.30/1,419.65
6. Step 6: Final answer
   x = 1,090.82