Finding the Fourth Proportional to 1,524.56, 2,286.78 and 498.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,524.56 : 2,286.78 = 498.56 : x
2. Step 2: Convert to fraction form
   1,524.56/2,286.78 = 498.56/x
3. Step 3: Cross multiply
   1,524.56x = 2,286.78 × 498.56
4. Step 4: Simplify right side
   1,524.56x = 1,140,097.04
5. Step 5: Solve for x
   x = 1,140,097.04/1,524.56
6. Step 6: Final answer
   x = 747.82