Finding the Fourth Proportional to 1,123.71, 1,683.72 and 506.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.71 : 1,683.72 = 506.49 : x
2. Step 2: Convert to fraction form
   1,123.71/1,683.72 = 506.49/x
3. Step 3: Cross multiply
   1,123.71x = 1,683.72 × 506.49
4. Step 4: Simplify right side
   1,123.71x = 852,787.34
5. Step 5: Solve for x
   x = 852,787.34/1,123.71
6. Step 6: Final answer
   x = 758.90