Finding the Fourth Proportional to 2,045.10, 2,821.77 and 1,160.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,045.10 : 2,821.77 = 1,160.82 : x
2. Step 2: Convert to fraction form
   2,045.10/2,821.77 = 1,160.82/x
3. Step 3: Cross multiply
   2,045.10x = 2,821.77 × 1,160.82
4. Step 4: Simplify right side
   2,045.10x = 3,275,567.05
5. Step 5: Solve for x
   x = 3,275,567.05/2,045.10
6. Step 6: Final answer
   x = 1,601.67