Finding the Fourth Proportional to 2,105.12, 2,904.60 and 1,406

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.12 : 2,904.60 = 1,406 : x
2. Step 2: Convert to fraction form
   2,105.12/2,904.60 = 1,406/x
3. Step 3: Cross multiply
   2,105.12x = 2,904.60 × 1,406
4. Step 4: Simplify right side
   2,105.12x = 4,083,867.60
5. Step 5: Solve for x
   x = 4,083,867.60/2,105.12
6. Step 6: Final answer
   x = 1,939.97