Finding the Fourth Proportional to 1,019.29, 1,406.61 and 577.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.29 : 1,406.61 = 577.09 : x
2. Step 2: Convert to fraction form
   1,019.29/1,406.61 = 577.09/x
3. Step 3: Cross multiply
   1,019.29x = 1,406.61 × 577.09
4. Step 4: Simplify right side
   1,019.29x = 811,740.56
5. Step 5: Solve for x
   x = 811,740.56/1,019.29
6. Step 6: Final answer
   x = 796.38