Finding the Fourth Proportional to 3,774.78, 5,209.20 and 2,096.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,774.78 : 5,209.20 = 2,096.25 : x
2. Step 2: Convert to fraction form
   3,774.78/5,209.20 = 2,096.25/x
3. Step 3: Cross multiply
   3,774.78x = 5,209.20 × 2,096.25
4. Step 4: Simplify right side
   3,774.78x = 10,919,785.50
5. Step 5: Solve for x
   x = 10,919,785.50/3,774.78
6. Step 6: Final answer
   x = 2,892.83