Finding the Fourth Proportional to 1,019.79, 1,407.30 and 577.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.79 : 1,407.30 = 577.59 : x
2. Step 2: Convert to fraction form
   1,019.79/1,407.30 = 577.59/x
3. Step 3: Cross multiply
   1,019.79x = 1,407.30 × 577.59
4. Step 4: Simplify right side
   1,019.79x = 812,842.41
5. Step 5: Solve for x
   x = 812,842.41/1,019.79
6. Step 6: Final answer
   x = 797.07