Finding the Fourth Proportional to 1,419.98, 1,959.55 and 790.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.98 : 1,959.55 = 790.50 : x
2. Step 2: Convert to fraction form
   1,419.98/1,959.55 = 790.50/x
3. Step 3: Cross multiply
   1,419.98x = 1,959.55 × 790.50
4. Step 4: Simplify right side
   1,419.98x = 1,549,024.28
5. Step 5: Solve for x
   x = 1,549,024.28/1,419.98
6. Step 6: Final answer
   x = 1,090.88