Finding the Fourth Proportional to 1,002.34, 1,382.84 and 582.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.34 : 1,382.84 = 582.64 : x
2. Step 2: Convert to fraction form
   1,002.34/1,382.84 = 582.64/x
3. Step 3: Cross multiply
   1,002.34x = 1,382.84 × 582.64
4. Step 4: Simplify right side
   1,002.34x = 805,697.90
5. Step 5: Solve for x
   x = 805,697.90/1,002.34
6. Step 6: Final answer
   x = 803.82