Finding the Fourth Proportional to 2,074.36, 3,111.42 and 775.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.36 : 3,111.42 = 775.72 : x
2. Step 2: Convert to fraction form
   2,074.36/3,111.42 = 775.72/x
3. Step 3: Cross multiply
   2,074.36x = 3,111.42 × 775.72
4. Step 4: Simplify right side
   2,074.36x = 2,413,575.17
5. Step 5: Solve for x
   x = 2,413,575.17/2,074.36
6. Step 6: Final answer
   x = 1,163.53