Finding the Fourth Proportional to 1,019.94, 1,407.15 and 577.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.94 : 1,407.15 = 577.68 : x
2. Step 2: Convert to fraction form
   1,019.94/1,407.15 = 577.68/x
3. Step 3: Cross multiply
   1,019.94x = 1,407.15 × 577.68
4. Step 4: Simplify right side
   1,019.94x = 812,882.41
5. Step 5: Solve for x
   x = 812,882.41/1,019.94
6. Step 6: Final answer
   x = 796.99