Finding the Fourth Proportional to 1,268.54, 1,902.82 and 498.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,268.54 : 1,902.82 = 498.50 : x
2. Step 2: Convert to fraction form
   1,268.54/1,902.82 = 498.50/x
3. Step 3: Cross multiply
   1,268.54x = 1,902.82 × 498.50
4. Step 4: Simplify right side
   1,268.54x = 948,555.77
5. Step 5: Solve for x
   x = 948,555.77/1,268.54
6. Step 6: Final answer
   x = 747.75