Finding the Fourth Proportional to 2,069.42, 2,854.71 and 1,406.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,069.42 : 2,854.71 = 1,406.70 : x
2. Step 2: Convert to fraction form
   2,069.42/2,854.71 = 1,406.70/x
3. Step 3: Cross multiply
   2,069.42x = 2,854.71 × 1,406.70
4. Step 4: Simplify right side
   2,069.42x = 4,015,720.56
5. Step 5: Solve for x
   x = 4,015,720.56/2,069.42
6. Step 6: Final answer
   x = 1,940.51