Finding the Fourth Proportional to 1,019.84, 1,407.32 and 577.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.84 : 1,407.32 = 577.76 : x
2. Step 2: Convert to fraction form
   1,019.84/1,407.32 = 577.76/x
3. Step 3: Cross multiply
   1,019.84x = 1,407.32 × 577.76
4. Step 4: Simplify right side
   1,019.84x = 813,093.20
5. Step 5: Solve for x
   x = 813,093.20/1,019.84
6. Step 6: Final answer
   x = 797.28