Finding the Fourth Proportional to 2,162.75, 3,243.76 and 775.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,162.75 : 3,243.76 = 775.82 : x
2. Step 2: Convert to fraction form
   2,162.75/3,243.76 = 775.82/x
3. Step 3: Cross multiply
   2,162.75x = 3,243.76 × 775.82
4. Step 4: Simplify right side
   2,162.75x = 2,516,580.05
5. Step 5: Solve for x
   x = 2,516,580.05/2,162.75
6. Step 6: Final answer
   x = 1,163.60