Finding the Fourth Proportional to 1,019.46, 1,406.76 and 577.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.46 : 1,406.76 = 577.40 : x
2. Step 2: Convert to fraction form
   1,019.46/1,406.76 = 577.40/x
3. Step 3: Cross multiply
   1,019.46x = 1,406.76 × 577.40
4. Step 4: Simplify right side
   1,019.46x = 812,256.19
5. Step 5: Solve for x
   x = 812,256.19/1,019.46
6. Step 6: Final answer
   x = 796.75