Finding the Fourth Proportional to 2,105.64, 3,160.41 and 1,066.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.64 : 3,160.41 = 1,066.38 : x
2. Step 2: Convert to fraction form
   2,105.64/3,160.41 = 1,066.38/x
3. Step 3: Cross multiply
   2,105.64x = 3,160.41 × 1,066.38
4. Step 4: Simplify right side
   2,105.64x = 3,370,198.02
5. Step 5: Solve for x
   x = 3,370,198.02/2,105.64
6. Step 6: Final answer
   x = 1,600.56