Finding the Fourth Proportional to 3,871.86, 5,804.37 and 1,406.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,871.86 : 5,804.37 = 1,406.10 : x
2. Step 2: Convert to fraction form
   3,871.86/5,804.37 = 1,406.10/x
3. Step 3: Cross multiply
   3,871.86x = 5,804.37 × 1,406.10
4. Step 4: Simplify right side
   3,871.86x = 8,161,524.66
5. Step 5: Solve for x
   x = 8,161,524.66/3,871.86
6. Step 6: Final answer
   x = 2,107.91