Finding the Fourth Proportional to 2,585.82, 3,878.70 and 942.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.82 : 3,878.70 = 942.82 : x
2. Step 2: Convert to fraction form
   2,585.82/3,878.70 = 942.82/x
3. Step 3: Cross multiply
   2,585.82x = 3,878.70 × 942.82
4. Step 4: Simplify right side
   2,585.82x = 3,656,915.93
5. Step 5: Solve for x
   x = 3,656,915.93/2,585.82
6. Step 6: Final answer
   x = 1,414.22