Finding the Fourth Proportional to 2,584.66, 3,876.30 and 1,123.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.66 : 3,876.30 = 1,123.48 : x
2. Step 2: Convert to fraction form
   2,584.66/3,876.30 = 1,123.48/x
3. Step 3: Cross multiply
   2,584.66x = 3,876.30 × 1,123.48
4. Step 4: Simplify right side
   2,584.66x = 4,354,945.52
5. Step 5: Solve for x
   x = 4,354,945.52/2,584.66
6. Step 6: Final answer
   x = 1,684.92