Finding the Fourth Proportional to 2,585.81, 3,878.25 and 1,105.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.81 : 3,878.25 = 1,105.87 : x
2. Step 2: Convert to fraction form
   2,585.81/3,878.25 = 1,105.87/x
3. Step 3: Cross multiply
   2,585.81x = 3,878.25 × 1,105.87
4. Step 4: Simplify right side
   2,585.81x = 4,288,826.34
5. Step 5: Solve for x
   x = 4,288,826.34/2,585.81
6. Step 6: Final answer
   x = 1,658.60