Finding the Fourth Proportional to 2,447.78, 3,665.13 and 1,406.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,447.78 : 3,665.13 = 1,406.22 : x
2. Step 2: Convert to fraction form
   2,447.78/3,665.13 = 1,406.22/x
3. Step 3: Cross multiply
   2,447.78x = 3,665.13 × 1,406.22
4. Step 4: Simplify right side
   2,447.78x = 5,153,979.11
5. Step 5: Solve for x
   x = 5,153,979.11/2,447.78
6. Step 6: Final answer
   x = 2,105.57