Finding the Fourth Proportional to 1,365.06, 2,046.34 and 498.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.06 : 2,046.34 = 498.76 : x
2. Step 2: Convert to fraction form
   1,365.06/2,046.34 = 498.76/x
3. Step 3: Cross multiply
   1,365.06x = 2,046.34 × 498.76
4. Step 4: Simplify right side
   1,365.06x = 1,020,632.54
5. Step 5: Solve for x
   x = 1,020,632.54/1,365.06
6. Step 6: Final answer
   x = 747.68