Finding the Fourth Proportional to 2,584.81, 3,878.55 and 942.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.81 : 3,878.55 = 942.47 : x
2. Step 2: Convert to fraction form
   2,584.81/3,878.55 = 942.47/x
3. Step 3: Cross multiply
   2,584.81x = 3,878.55 × 942.47
4. Step 4: Simplify right side
   2,584.81x = 3,655,412.17
5. Step 5: Solve for x
   x = 3,655,412.17/2,584.81
6. Step 6: Final answer
   x = 1,414.19