Finding the Fourth Proportional to 1,019.32, 1,406.69 and 577.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.32 : 1,406.69 = 577.23 : x
2. Step 2: Convert to fraction form
   1,019.32/1,406.69 = 577.23/x
3. Step 3: Cross multiply
   1,019.32x = 1,406.69 × 577.23
4. Step 4: Simplify right side
   1,019.32x = 811,983.67
5. Step 5: Solve for x
   x = 811,983.67/1,019.32
6. Step 6: Final answer
   x = 796.59