Finding the Fourth Proportional to 2,230.34, 3,345.78 and 769.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,230.34 : 3,345.78 = 769.82 : x
2. Step 2: Convert to fraction form
   2,230.34/3,345.78 = 769.82/x
3. Step 3: Cross multiply
   2,230.34x = 3,345.78 × 769.82
4. Step 4: Simplify right side
   2,230.34x = 2,575,648.36
5. Step 5: Solve for x
   x = 2,575,648.36/2,230.34
6. Step 6: Final answer
   x = 1,154.82