Finding the Fourth Proportional to 1,364.42, 2,046.63 and 498.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.42 : 2,046.63 = 498.53 : x
2. Step 2: Convert to fraction form
   1,364.42/2,046.63 = 498.53/x
3. Step 3: Cross multiply
   1,364.42x = 2,046.63 × 498.53
4. Step 4: Simplify right side
   1,364.42x = 1,020,306.45
5. Step 5: Solve for x
   x = 1,020,306.45/1,364.42
6. Step 6: Final answer
   x = 747.80