Finding the Fourth Proportional to 1,019.92, 1,407.55 and 571.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.92 : 1,407.55 = 571.82 : x
2. Step 2: Convert to fraction form
   1,019.92/1,407.55 = 571.82/x
3. Step 3: Cross multiply
   1,019.92x = 1,407.55 × 571.82
4. Step 4: Simplify right side
   1,019.92x = 804,865.24
5. Step 5: Solve for x
   x = 804,865.24/1,019.92
6. Step 6: Final answer
   x = 789.15