Finding the Fourth Proportional to 1,019.82, 1,407.39 and 577.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.82 : 1,407.39 = 577.77 : x
2. Step 2: Convert to fraction form
   1,019.82/1,407.39 = 577.77/x
3. Step 3: Cross multiply
   1,019.82x = 1,407.39 × 577.77
4. Step 4: Simplify right side
   1,019.82x = 813,147.72
5. Step 5: Solve for x
   x = 813,147.72/1,019.82
6. Step 6: Final answer
   x = 797.34