Finding the Fourth Proportional to 2,227.09, 3,340.71 and 766.23

Step by Step Solution

1. Step 1: Write the proportion equation
   2,227.09 : 3,340.71 = 766.23 : x
2. Step 2: Convert to fraction form
   2,227.09/3,340.71 = 766.23/x
3. Step 3: Cross multiply
   2,227.09x = 3,340.71 × 766.23
4. Step 4: Simplify right side
   2,227.09x = 2,559,752.22
5. Step 5: Solve for x
   x = 2,559,752.22/2,227.09
6. Step 6: Final answer
   x = 1,149.37