Finding the Fourth Proportional to 3,774.86, 5,209.28 and 2,096.27

Step by Step Solution

1. Step 1: Write the proportion equation
   3,774.86 : 5,209.28 = 2,096.27 : x
2. Step 2: Convert to fraction form
   3,774.86/5,209.28 = 2,096.27/x
3. Step 3: Cross multiply
   3,774.86x = 5,209.28 × 2,096.27
4. Step 4: Simplify right side
   3,774.86x = 10,920,077.56
5. Step 5: Solve for x
   x = 10,920,077.56/3,774.86
6. Step 6: Final answer
   x = 2,892.84