Finding the Fourth Proportional to 1,019.68, 1,407.13 and 577.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.68 : 1,407.13 = 577.55 : x
2. Step 2: Convert to fraction form
   1,019.68/1,407.13 = 577.55/x
3. Step 3: Cross multiply
   1,019.68x = 1,407.13 × 577.55
4. Step 4: Simplify right side
   1,019.68x = 812,687.93
5. Step 5: Solve for x
   x = 812,687.93/1,019.68
6. Step 6: Final answer
   x = 797.00