Finding the Fourth Proportional to 2,811.42, 4,217.72 and 1,406.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,811.42 : 4,217.72 = 1,406.57 : x
2. Step 2: Convert to fraction form
   2,811.42/4,217.72 = 1,406.57/x
3. Step 3: Cross multiply
   2,811.42x = 4,217.72 × 1,406.57
4. Step 4: Simplify right side
   2,811.42x = 5,932,490.30
5. Step 5: Solve for x
   x = 5,932,490.30/2,811.42
6. Step 6: Final answer
   x = 2,110.14