Finding the Fourth Proportional to 3,774.92, 5,209.32 and 2,096.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,774.92 : 5,209.32 = 2,096.30 : x
2. Step 2: Convert to fraction form
   3,774.92/5,209.32 = 2,096.30/x
3. Step 3: Cross multiply
   3,774.92x = 5,209.32 × 2,096.30
4. Step 4: Simplify right side
   3,774.92x = 10,920,271.47
5. Step 5: Solve for x
   x = 10,920,271.47/3,774.92
6. Step 6: Final answer
   x = 2,892.85