Finding the Fourth Proportional to 1,019.50, 1,406.91 and 709.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.50 : 1,406.91 = 709.18 : x
2. Step 2: Convert to fraction form
   1,019.50/1,406.91 = 709.18/x
3. Step 3: Cross multiply
   1,019.50x = 1,406.91 × 709.18
4. Step 4: Simplify right side
   1,019.50x = 997,752.43
5. Step 5: Solve for x
   x = 997,752.43/1,019.50
6. Step 6: Final answer
   x = 978.67