Finding the Fourth Proportional to 1,002.15, 1,382.94 and 582.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.15 : 1,382.94 = 582.50 : x
2. Step 2: Convert to fraction form
   1,002.15/1,382.94 = 582.50/x
3. Step 3: Cross multiply
   1,002.15x = 1,382.94 × 582.50
4. Step 4: Simplify right side
   1,002.15x = 805,555.64
5. Step 5: Solve for x
   x = 805,555.64/1,002.15
6. Step 6: Final answer
   x = 803.83