Finding the Fourth Proportional to 1,019.70, 1,408.50 and 754.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.70 : 1,408.50 = 754.67 : x
2. Step 2: Convert to fraction form
   1,019.70/1,408.50 = 754.67/x
3. Step 3: Cross multiply
   1,019.70x = 1,408.50 × 754.67
4. Step 4: Simplify right side
   1,019.70x = 1,062,956.22
5. Step 5: Solve for x
   x = 1,062,956.22/1,019.70
6. Step 6: Final answer
   x = 1,042.42