Finding the Fourth Proportional to 3,852.82, 5,316.89 and 2,084.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,852.82 : 5,316.89 = 2,084.42 : x
2. Step 2: Convert to fraction form
   3,852.82/5,316.89 = 2,084.42/x
3. Step 3: Cross multiply
   3,852.82x = 5,316.89 × 2,084.42
4. Step 4: Simplify right side
   3,852.82x = 11,082,631.85
5. Step 5: Solve for x
   x = 11,082,631.85/3,852.82
6. Step 6: Final answer
   x = 2,876.50