Finding the Fourth Proportional to 2,584.10, 3,876.42 and 1,123.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.10 : 3,876.42 = 1,123.40 : x
2. Step 2: Convert to fraction form
   2,584.10/3,876.42 = 1,123.40/x
3. Step 3: Cross multiply
   2,584.10x = 3,876.42 × 1,123.40
4. Step 4: Simplify right side
   2,584.10x = 4,354,770.23
5. Step 5: Solve for x
   x = 4,354,770.23/2,584.10
6. Step 6: Final answer
   x = 1,685.22