Finding the Fourth Proportional to 1,162.98, 1,743.39 and 585.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.98 : 1,743.39 = 585.18 : x
2. Step 2: Convert to fraction form
   1,162.98/1,743.39 = 585.18/x
3. Step 3: Cross multiply
   1,162.98x = 1,743.39 × 585.18
4. Step 4: Simplify right side
   1,162.98x = 1,020,196.96
5. Step 5: Solve for x
   x = 1,020,196.96/1,162.98
6. Step 6: Final answer
   x = 877.23