Finding the Fourth Proportional to 2,227.63, 3,341.34 and 766.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,227.63 : 3,341.34 = 766.81 : x
2. Step 2: Convert to fraction form
   2,227.63/3,341.34 = 766.81/x
3. Step 3: Cross multiply
   2,227.63x = 3,341.34 × 766.81
4. Step 4: Simplify right side
   2,227.63x = 2,562,172.93
5. Step 5: Solve for x
   x = 2,562,172.93/2,227.63
6. Step 6: Final answer
   x = 1,150.18