Finding the Fourth Proportional to 2,074.48, 3,111.61 and 775.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.48 : 3,111.61 = 775.85 : x
2. Step 2: Convert to fraction form
   2,074.48/3,111.61 = 775.85/x
3. Step 3: Cross multiply
   2,074.48x = 3,111.61 × 775.85
4. Step 4: Simplify right side
   2,074.48x = 2,414,142.62
5. Step 5: Solve for x
   x = 2,414,142.62/2,074.48
6. Step 6: Final answer
   x = 1,163.73