Finding the Fourth Proportional to 1,019.88, 1,407.40 and 577.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.88 : 1,407.40 = 577.82 : x
2. Step 2: Convert to fraction form
   1,019.88/1,407.40 = 577.82/x
3. Step 3: Cross multiply
   1,019.88x = 1,407.40 × 577.82
4. Step 4: Simplify right side
   1,019.88x = 813,223.87
5. Step 5: Solve for x
   x = 813,223.87/1,019.88
6. Step 6: Final answer
   x = 797.37