Finding the Fourth Proportional to 3,774.63, 5,208.82 and 2,096.14

Step by Step Solution

1. Step 1: Write the proportion equation
   3,774.63 : 5,208.82 = 2,096.14 : x
2. Step 2: Convert to fraction form
   3,774.63/5,208.82 = 2,096.14/x
3. Step 3: Cross multiply
   3,774.63x = 5,208.82 × 2,096.14
4. Step 4: Simplify right side
   3,774.63x = 10,918,419.16
5. Step 5: Solve for x
   x = 10,918,419.16/3,774.63
6. Step 6: Final answer
   x = 2,892.58