Finding the Fourth Proportional to 3,778.16, 5,213.69 and 2,099.67

Step by Step Solution

1. Step 1: Write the proportion equation
   3,778.16 : 5,213.69 = 2,099.67 : x
2. Step 2: Convert to fraction form
   3,778.16/5,213.69 = 2,099.67/x
3. Step 3: Cross multiply
   3,778.16x = 5,213.69 × 2,099.67
4. Step 4: Simplify right side
   3,778.16x = 10,947,017.98
5. Step 5: Solve for x
   x = 10,947,017.98/3,778.16
6. Step 6: Final answer
   x = 2,897.45