Finding the Fourth Proportional to 2,584.59, 3,878.73 and 942.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.59 : 3,878.73 = 942.54 : x
2. Step 2: Convert to fraction form
   2,584.59/3,878.73 = 942.54/x
3. Step 3: Cross multiply
   2,584.59x = 3,878.73 × 942.54
4. Step 4: Simplify right side
   2,584.59x = 3,655,858.17
5. Step 5: Solve for x
   x = 3,655,858.17/2,584.59
6. Step 6: Final answer
   x = 1,414.48