Finding the Fourth Proportional to 1,123.59, 1,684.06 and 506.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.59 : 1,684.06 = 506.57 : x
2. Step 2: Convert to fraction form
   1,123.59/1,684.06 = 506.57/x
3. Step 3: Cross multiply
   1,123.59x = 1,684.06 × 506.57
4. Step 4: Simplify right side
   1,123.59x = 853,094.27
5. Step 5: Solve for x
   x = 853,094.27/1,123.59
6. Step 6: Final answer
   x = 759.26