Finding the Fourth Proportional to 2,585.57, 3,878.71 and 942.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.57 : 3,878.71 = 942.89 : x
2. Step 2: Convert to fraction form
   2,585.57/3,878.71 = 942.89/x
3. Step 3: Cross multiply
   2,585.57x = 3,878.71 × 942.89
4. Step 4: Simplify right side
   2,585.57x = 3,657,175.12
5. Step 5: Solve for x
   x = 3,657,175.12/2,585.57
6. Step 6: Final answer
   x = 1,414.46