Finding the Fourth Proportional to 2,584.60, 3,874.42 and 1,284.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.60 : 3,874.42 = 1,284.80 : x
2. Step 2: Convert to fraction form
   2,584.60/3,874.42 = 1,284.80/x
3. Step 3: Cross multiply
   2,584.60x = 3,874.42 × 1,284.80
4. Step 4: Simplify right side
   2,584.60x = 4,977,854.82
5. Step 5: Solve for x
   x = 4,977,854.82/2,584.60
6. Step 6: Final answer
   x = 1,925.97