Finding the Fourth Proportional to 1,002.42, 1,383.12 and 582.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.42 : 1,383.12 = 582.80 : x
2. Step 2: Convert to fraction form
   1,002.42/1,383.12 = 582.80/x
3. Step 3: Cross multiply
   1,002.42x = 1,383.12 × 582.80
4. Step 4: Simplify right side
   1,002.42x = 806,075.42
5. Step 5: Solve for x
   x = 806,075.42/1,002.42
6. Step 6: Final answer
   x = 804.13