Finding the Fourth Proportional to 3,774.75, 5,209.16 and 2,096.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,774.75 : 5,209.16 = 2,096.16 : x
2. Step 2: Convert to fraction form
   3,774.75/5,209.16 = 2,096.16/x
3. Step 3: Cross multiply
   3,774.75x = 5,209.16 × 2,096.16
4. Step 4: Simplify right side
   3,774.75x = 10,919,222.34
5. Step 5: Solve for x
   x = 10,919,222.34/3,774.75
6. Step 6: Final answer
   x = 2,892.70