Finding the Fourth Proportional to 1,019.39, 1,527.46 and 725.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.39 : 1,527.46 = 725.76 : x
2. Step 2: Convert to fraction form
   1,019.39/1,527.46 = 725.76/x
3. Step 3: Cross multiply
   1,019.39x = 1,527.46 × 725.76
4. Step 4: Simplify right side
   1,019.39x = 1,108,567.56
5. Step 5: Solve for x
   x = 1,108,567.56/1,019.39
6. Step 6: Final answer
   x = 1,087.49