Finding the Fourth Proportional to 2,584.14, 3,876.12 and 1,123.29

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.14 : 3,876.12 = 1,123.29 : x
2. Step 2: Convert to fraction form
   2,584.14/3,876.12 = 1,123.29/x
3. Step 3: Cross multiply
   2,584.14x = 3,876.12 × 1,123.29
4. Step 4: Simplify right side
   2,584.14x = 4,354,019.33
5. Step 5: Solve for x
   x = 4,354,019.33/2,584.14
6. Step 6: Final answer
   x = 1,684.90