Finding the Fourth Proportional to 3,826.12, 5,740.80 and 1,878.34

Step by Step Solution

1. Step 1: Write the proportion equation
   3,826.12 : 5,740.80 = 1,878.34 : x
2. Step 2: Convert to fraction form
   3,826.12/5,740.80 = 1,878.34/x
3. Step 3: Cross multiply
   3,826.12x = 5,740.80 × 1,878.34
4. Step 4: Simplify right side
   3,826.12x = 10,783,174.27
5. Step 5: Solve for x
   x = 10,783,174.27/3,826.12
6. Step 6: Final answer
   x = 2,818.31