Finding the Fourth Proportional to 1,016.10, 1,401.41 and 779.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.10 : 1,401.41 = 779.75 : x
2. Step 2: Convert to fraction form
   1,016.10/1,401.41 = 779.75/x
3. Step 3: Cross multiply
   1,016.10x = 1,401.41 × 779.75
4. Step 4: Simplify right side
   1,016.10x = 1,092,749.65
5. Step 5: Solve for x
   x = 1,092,749.65/1,016.10
6. Step 6: Final answer
   x = 1,075.44