Finding the Fourth Proportional to 1,584.82, 2,377.71 and 1,123.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.82 : 2,377.71 = 1,123.49 : x
2. Step 2: Convert to fraction form
   1,584.82/2,377.71 = 1,123.49/x
3. Step 3: Cross multiply
   1,584.82x = 2,377.71 × 1,123.49
4. Step 4: Simplify right side
   1,584.82x = 2,671,333.41
5. Step 5: Solve for x
   x = 2,671,333.41/1,584.82
6. Step 6: Final answer
   x = 1,685.58