Finding the Fourth Proportional to 1,019.10, 1,406.49 and 577.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.10 : 1,406.49 = 577.00 : x
2. Step 2: Convert to fraction form
   1,019.10/1,406.49 = 577.00/x
3. Step 3: Cross multiply
   1,019.10x = 1,406.49 × 577.00
4. Step 4: Simplify right side
   1,019.10x = 811,544.32
5. Step 5: Solve for x
   x = 811,544.32/1,019.10
6. Step 6: Final answer
   x = 796.33