Finding the Fourth Proportional to 2,105.84, 3,159.05 and 1,066.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.84 : 3,159.05 = 1,066.61 : x
2. Step 2: Convert to fraction form
   2,105.84/3,159.05 = 1,066.61/x
3. Step 3: Cross multiply
   2,105.84x = 3,159.05 × 1,066.61
4. Step 4: Simplify right side
   2,105.84x = 3,369,453.19
5. Step 5: Solve for x
   x = 3,369,453.19/2,105.84
6. Step 6: Final answer
   x = 1,600.06