Finding the Fourth Proportional to 2,074.12, 3,109.56 and 775.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.12 : 3,109.56 = 775.42 : x
2. Step 2: Convert to fraction form
   2,074.12/3,109.56 = 775.42/x
3. Step 3: Cross multiply
   2,074.12x = 3,109.56 × 775.42
4. Step 4: Simplify right side
   2,074.12x = 2,411,215.02
5. Step 5: Solve for x
   x = 2,411,215.02/2,074.12
6. Step 6: Final answer
   x = 1,162.52