Finding the Fourth Proportional to 1,586.49, 2,377.02 and 1,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586.49 : 2,377.02 = 1,123.50 : x
2. Step 2: Convert to fraction form
   1,586.49/2,377.02 = 1,123.50/x
3. Step 3: Cross multiply
   1,586.49x = 2,377.02 × 1,123.50
4. Step 4: Simplify right side
   1,586.49x = 2,670,571.88
5. Step 5: Solve for x
   x = 2,670,571.88/1,586.49
6. Step 6: Final answer
   x = 1,683.32