Finding the Fourth Proportional to 1,019.24, 1,406.20 and 577.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.24 : 1,406.20 = 577.06 : x
2. Step 2: Convert to fraction form
   1,019.24/1,406.20 = 577.06/x
3. Step 3: Cross multiply
   1,019.24x = 1,406.20 × 577.06
4. Step 4: Simplify right side
   1,019.24x = 811,461.77
5. Step 5: Solve for x
   x = 811,461.77/1,019.24
6. Step 6: Final answer
   x = 796.14