Finding the Fourth Proportional to 1,019.16, 1,406.52 and 577.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.16 : 1,406.52 = 577.08 : x
2. Step 2: Convert to fraction form
   1,019.16/1,406.52 = 577.08/x
3. Step 3: Cross multiply
   1,019.16x = 1,406.52 × 577.08
4. Step 4: Simplify right side
   1,019.16x = 811,674.56
5. Step 5: Solve for x
   x = 811,674.56/1,019.16
6. Step 6: Final answer
   x = 796.42