Finding the Fourth Proportional to 2,092.38, 3,136.57 and 775.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,092.38 : 3,136.57 = 775.78 : x
2. Step 2: Convert to fraction form
   2,092.38/3,136.57 = 775.78/x
3. Step 3: Cross multiply
   2,092.38x = 3,136.57 × 775.78
4. Step 4: Simplify right side
   2,092.38x = 2,433,288.27
5. Step 5: Solve for x
   x = 2,433,288.27/2,092.38
6. Step 6: Final answer
   x = 1,162.93