Finding the Fourth Proportional to 2,105.82, 2,905.86 and 1,161.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,105.82 : 2,905.86 = 1,161.46 : x
2. Step 2: Convert to fraction form
   2,105.82/2,905.86 = 1,161.46/x
3. Step 3: Cross multiply
   2,105.82x = 2,905.86 × 1,161.46
4. Step 4: Simplify right side
   2,105.82x = 3,375,040.16
5. Step 5: Solve for x
   x = 3,375,040.16/2,105.82
6. Step 6: Final answer
   x = 1,602.72