Finding the Fourth Proportional to 3,075.78, 4,609.35 and 2,306.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,075.78 : 4,609.35 = 2,306.82 : x
2. Step 2: Convert to fraction form
   3,075.78/4,609.35 = 2,306.82/x
3. Step 3: Cross multiply
   3,075.78x = 4,609.35 × 2,306.82
4. Step 4: Simplify right side
   3,075.78x = 10,632,940.77
5. Step 5: Solve for x
   x = 10,632,940.77/3,075.78
6. Step 6: Final answer
   x = 3,456.99