Finding the Fourth Proportional to 2,074.34, 3,111.78 and 775.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.34 : 3,111.78 = 775.64 : x
2. Step 2: Convert to fraction form
   2,074.34/3,111.78 = 775.64/x
3. Step 3: Cross multiply
   2,074.34x = 3,111.78 × 775.64
4. Step 4: Simplify right side
   2,074.34x = 2,413,621.04
5. Step 5: Solve for x
   x = 2,413,621.04/2,074.34
6. Step 6: Final answer
   x = 1,163.56