Finding the Fourth Proportional to 1,028.54, 1,418.86 and 779.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.54 : 1,418.86 = 779.42 : x
2. Step 2: Convert to fraction form
   1,028.54/1,418.86 = 779.42/x
3. Step 3: Cross multiply
   1,028.54x = 1,418.86 × 779.42
4. Step 4: Simplify right side
   1,028.54x = 1,105,887.86
5. Step 5: Solve for x
   x = 1,105,887.86/1,028.54
6. Step 6: Final answer
   x = 1,075.20