Finding the Fourth Proportional to 2,162.49, 3,243.60 and 775.79

Step by Step Solution

1. Step 1: Write the proportion equation
   2,162.49 : 3,243.60 = 775.79 : x
2. Step 2: Convert to fraction form
   2,162.49/3,243.60 = 775.79/x
3. Step 3: Cross multiply
   2,162.49x = 3,243.60 × 775.79
4. Step 4: Simplify right side
   2,162.49x = 2,516,333.32
5. Step 5: Solve for x
   x = 2,516,333.32/2,162.49
6. Step 6: Final answer
   x = 1,163.63