Finding the Fourth Proportional to 3,777.57, 5,213 and 2,076.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,777.57 : 5,213 = 2,076.10 : x
2. Step 2: Convert to fraction form
   3,777.57/5,213 = 2,076.10/x
3. Step 3: Cross multiply
   3,777.57x = 5,213 × 2,076.10
4. Step 4: Simplify right side
   3,777.57x = 10,822,709.30
5. Step 5: Solve for x
   x = 10,822,709.30/3,777.57
6. Step 6: Final answer
   x = 2,864.99