Finding the Fourth Proportional to 1,019.60, 1,407.07 and 577.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.60 : 1,407.07 = 577.56 : x
2. Step 2: Convert to fraction form
   1,019.60/1,407.07 = 577.56/x
3. Step 3: Cross multiply
   1,019.60x = 1,407.07 × 577.56
4. Step 4: Simplify right side
   1,019.60x = 812,667.35
5. Step 5: Solve for x
   x = 812,667.35/1,019.60
6. Step 6: Final answer
   x = 797.05