Finding the Fourth Proportional to 1,019.22, 1,406.61 and 576.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.22 : 1,406.61 = 576.96 : x
2. Step 2: Convert to fraction form
   1,019.22/1,406.61 = 576.96/x
3. Step 3: Cross multiply
   1,019.22x = 1,406.61 × 576.96
4. Step 4: Simplify right side
   1,019.22x = 811,557.71
5. Step 5: Solve for x
   x = 811,557.71/1,019.22
6. Step 6: Final answer
   x = 796.25