Finding the Fourth Proportional to 3,834.66, 5,748.60 and 2,270.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834.66 : 5,748.60 = 2,270.82 : x
2. Step 2: Convert to fraction form
   3,834.66/5,748.60 = 2,270.82/x
3. Step 3: Cross multiply
   3,834.66x = 5,748.60 × 2,270.82
4. Step 4: Simplify right side
   3,834.66x = 13,054,035.85
5. Step 5: Solve for x
   x = 13,054,035.85/3,834.66
6. Step 6: Final answer
   x = 3,404.22