Finding the Fourth Proportional to 2,231.69, 3,345.42 and 769.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,231.69 : 3,345.42 = 769.82 : x
2. Step 2: Convert to fraction form
   2,231.69/3,345.42 = 769.82/x
3. Step 3: Cross multiply
   2,231.69x = 3,345.42 × 769.82
4. Step 4: Simplify right side
   2,231.69x = 2,575,371.22
5. Step 5: Solve for x
   x = 2,575,371.22/2,231.69
6. Step 6: Final answer
   x = 1,154.00