Finding the Fourth Proportional to 1,019.96, 1,407.62 and 577.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.96 : 1,407.62 = 577.86 : x
2. Step 2: Convert to fraction form
   1,019.96/1,407.62 = 577.86/x
3. Step 3: Cross multiply
   1,019.96x = 1,407.62 × 577.86
4. Step 4: Simplify right side
   1,019.96x = 813,404.40
5. Step 5: Solve for x
   x = 813,404.40/1,019.96
6. Step 6: Final answer
   x = 797.49