Finding the Fourth Proportional to 1,002.14, 1,382.76 and 582.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.14 : 1,382.76 = 582.54 : x
2. Step 2: Convert to fraction form
   1,002.14/1,382.76 = 582.54/x
3. Step 3: Cross multiply
   1,002.14x = 1,382.76 × 582.54
4. Step 4: Simplify right side
   1,002.14x = 805,513.01
5. Step 5: Solve for x
   x = 805,513.01/1,002.14
6. Step 6: Final answer
   x = 803.79