Finding the Fourth Proportional to 1,019.77, 1,407.30 and 577.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.77 : 1,407.30 = 577.51 : x
2. Step 2: Convert to fraction form
   1,019.77/1,407.30 = 577.51/x
3. Step 3: Cross multiply
   1,019.77x = 1,407.30 × 577.51
4. Step 4: Simplify right side
   1,019.77x = 812,729.82
5. Step 5: Solve for x
   x = 812,729.82/1,019.77
6. Step 6: Final answer
   x = 796.97