Finding the Fourth Proportional to 1,162.96, 1,744.69 and 578.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.96 : 1,744.69 = 578.27 : x
2. Step 2: Convert to fraction form
   1,162.96/1,744.69 = 578.27/x
3. Step 3: Cross multiply
   1,162.96x = 1,744.69 × 578.27
4. Step 4: Simplify right side
   1,162.96x = 1,008,901.89
5. Step 5: Solve for x
   x = 1,008,901.89/1,162.96
6. Step 6: Final answer
   x = 867.53