Finding the Fourth Proportional to 2,228.34, 3,342.78 and 767.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,228.34 : 3,342.78 = 767.82 : x
2. Step 2: Convert to fraction form
   2,228.34/3,342.78 = 767.82/x
3. Step 3: Cross multiply
   2,228.34x = 3,342.78 × 767.82
4. Step 4: Simplify right side
   2,228.34x = 2,566,653.34
5. Step 5: Solve for x
   x = 2,566,653.34/2,228.34
6. Step 6: Final answer
   x = 1,151.82