Finding the Fourth Proportional to 1,123.56, 1,684.37 and 498.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,123.56 : 1,684.37 = 498.38 : x
2. Step 2: Convert to fraction form
   1,123.56/1,684.37 = 498.38/x
3. Step 3: Cross multiply
   1,123.56x = 1,684.37 × 498.38
4. Step 4: Simplify right side
   1,123.56x = 839,456.32
5. Step 5: Solve for x
   x = 839,456.32/1,123.56
6. Step 6: Final answer
   x = 747.14