Finding the Fourth Proportional to 1,160.16, 1,739.42 and 582.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,160.16 : 1,739.42 = 582.72 : x
2. Step 2: Convert to fraction form
   1,160.16/1,739.42 = 582.72/x
3. Step 3: Cross multiply
   1,160.16x = 1,739.42 × 582.72
4. Step 4: Simplify right side
   1,160.16x = 1,013,594.82
5. Step 5: Solve for x
   x = 1,013,594.82/1,160.16
6. Step 6: Final answer
   x = 873.67