Finding the Fourth Proportional to 1,019.57, 1,527.99 and 498.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.57 : 1,527.99 = 498.78 : x
2. Step 2: Convert to fraction form
   1,019.57/1,527.99 = 498.78/x
3. Step 3: Cross multiply
   1,019.57x = 1,527.99 × 498.78
4. Step 4: Simplify right side
   1,019.57x = 762,130.85
5. Step 5: Solve for x
   x = 762,130.85/1,019.57
6. Step 6: Final answer
   x = 747.51