Finding the Fourth Proportional to 1,162.40, 1,744.16 and 577.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.40 : 1,744.16 = 577.46 : x
2. Step 2: Convert to fraction form
   1,162.40/1,744.16 = 577.46/x
3. Step 3: Cross multiply
   1,162.40x = 1,744.16 × 577.46
4. Step 4: Simplify right side
   1,162.40x = 1,007,171.03
5. Step 5: Solve for x
   x = 1,007,171.03/1,162.40
6. Step 6: Final answer
   x = 866.46