Finding the Fourth Proportional to 2,009.12, 3,011.76 and 775.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,009.12 : 3,011.76 = 775.58 : x
2. Step 2: Convert to fraction form
   2,009.12/3,011.76 = 775.58/x
3. Step 3: Cross multiply
   2,009.12x = 3,011.76 × 775.58
4. Step 4: Simplify right side
   2,009.12x = 2,335,860.82
5. Step 5: Solve for x
   x = 2,335,860.82/2,009.12
6. Step 6: Final answer
   x = 1,162.63