Finding the Fourth Proportional to 3,778.53, 5,213.57 and 2,099.59

Step by Step Solution

1. Step 1: Write the proportion equation
   3,778.53 : 5,213.57 = 2,099.59 : x
2. Step 2: Convert to fraction form
   3,778.53/5,213.57 = 2,099.59/x
3. Step 3: Cross multiply
   3,778.53x = 5,213.57 × 2,099.59
4. Step 4: Simplify right side
   3,778.53x = 10,946,335.90
5. Step 5: Solve for x
   x = 10,946,335.90/3,778.53
6. Step 6: Final answer
   x = 2,896.99