Finding the Fourth Proportional to 1,019.71, 1,407.03 and 577.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.71 : 1,407.03 = 577.52 : x
2. Step 2: Convert to fraction form
   1,019.71/1,407.03 = 577.52/x
3. Step 3: Cross multiply
   1,019.71x = 1,407.03 × 577.52
4. Step 4: Simplify right side
   1,019.71x = 812,587.97
5. Step 5: Solve for x
   x = 812,587.97/1,019.71
6. Step 6: Final answer
   x = 796.88