Finding the Fourth Proportional to 1,365.06, 2,046.96 and 498.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.06 : 2,046.96 = 498.78 : x
2. Step 2: Convert to fraction form
   1,365.06/2,046.96 = 498.78/x
3. Step 3: Cross multiply
   1,365.06x = 2,046.96 × 498.78
4. Step 4: Simplify right side
   1,365.06x = 1,020,982.71
5. Step 5: Solve for x
   x = 1,020,982.71/1,365.06
6. Step 6: Final answer
   x = 747.94