Finding the Fourth Proportional to 1,046.78, 1,569.78 and 498.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.78 : 1,569.78 = 498.02 : x
2. Step 2: Convert to fraction form
   1,046.78/1,569.78 = 498.02/x
3. Step 3: Cross multiply
   1,046.78x = 1,569.78 × 498.02
4. Step 4: Simplify right side
   1,046.78x = 781,781.84
5. Step 5: Solve for x
   x = 781,781.84/1,046.78
6. Step 6: Final answer
   x = 746.84