Finding the Fourth Proportional to 1,123.12, 1,683.96 and 506.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.12 : 1,683.96 = 506.72 : x
2. Step 2: Convert to fraction form
   1,123.12/1,683.96 = 506.72/x
3. Step 3: Cross multiply
   1,123.12x = 1,683.96 × 506.72
4. Step 4: Simplify right side
   1,123.12x = 853,296.21
5. Step 5: Solve for x
   x = 853,296.21/1,123.12
6. Step 6: Final answer
   x = 759.76