Finding the Fourth Proportional to 1,162.98, 1,744.89 and 577.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.98 : 1,744.89 = 577.96 : x
2. Step 2: Convert to fraction form
   1,162.98/1,744.89 = 577.96/x
3. Step 3: Cross multiply
   1,162.98x = 1,744.89 × 577.96
4. Step 4: Simplify right side
   1,162.98x = 1,008,476.62
5. Step 5: Solve for x
   x = 1,008,476.62/1,162.98
6. Step 6: Final answer
   x = 867.15