Finding the Fourth Proportional to 1,019.34, 1,406.64 and 577.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.34 : 1,406.64 = 577.20 : x
2. Step 2: Convert to fraction form
   1,019.34/1,406.64 = 577.20/x
3. Step 3: Cross multiply
   1,019.34x = 1,406.64 × 577.20
4. Step 4: Simplify right side
   1,019.34x = 811,912.61
5. Step 5: Solve for x
   x = 811,912.61/1,019.34
6. Step 6: Final answer
   x = 796.51