Finding the Fourth Proportional to 2,563.86, 3,847.47 and 1,410.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.86 : 3,847.47 = 1,410.42 : x
2. Step 2: Convert to fraction form
   2,563.86/3,847.47 = 1,410.42/x
3. Step 3: Cross multiply
   2,563.86x = 3,847.47 × 1,410.42
4. Step 4: Simplify right side
   2,563.86x = 5,426,548.64
5. Step 5: Solve for x
   x = 5,426,548.64/2,563.86
6. Step 6: Final answer
   x = 2,116.55