Finding the Fourth Proportional to 3,826.37, 5,739.01 and 1,878.05

Step by Step Solution

1. Step 1: Write the proportion equation
   3,826.37 : 5,739.01 = 1,878.05 : x
2. Step 2: Convert to fraction form
   3,826.37/5,739.01 = 1,878.05/x
3. Step 3: Cross multiply
   3,826.37x = 5,739.01 × 1,878.05
4. Step 4: Simplify right side
   3,826.37x = 10,778,147.73
5. Step 5: Solve for x
   x = 10,778,147.73/3,826.37
6. Step 6: Final answer
   x = 2,816.81