Finding the Fourth Proportional to 1,019.57, 1,407.02 and 577.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.57 : 1,407.02 = 577.58 : x
2. Step 2: Convert to fraction form
   1,019.57/1,407.02 = 577.58/x
3. Step 3: Cross multiply
   1,019.57x = 1,407.02 × 577.58
4. Step 4: Simplify right side
   1,019.57x = 812,656.69
5. Step 5: Solve for x
   x = 812,656.69/1,019.57
6. Step 6: Final answer
   x = 797.06