Finding the Fourth Proportional to 1,019.56, 1,406.97 and 725.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.56 : 1,406.97 = 725.34 : x
2. Step 2: Convert to fraction form
   1,019.56/1,406.97 = 725.34/x
3. Step 3: Cross multiply
   1,019.56x = 1,406.97 × 725.34
4. Step 4: Simplify right side
   1,019.56x = 1,020,531.62
5. Step 5: Solve for x
   x = 1,020,531.62/1,019.56
6. Step 6: Final answer
   x = 1,000.96