Finding the Fourth Proportional to 1,162.56, 1,743.79 and 577.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.56 : 1,743.79 = 577.34 : x
2. Step 2: Convert to fraction form
   1,162.56/1,743.79 = 577.34/x
3. Step 3: Cross multiply
   1,162.56x = 1,743.79 × 577.34
4. Step 4: Simplify right side
   1,162.56x = 1,006,759.72
5. Step 5: Solve for x
   x = 1,006,759.72/1,162.56
6. Step 6: Final answer
   x = 865.99