Finding the Fourth Proportional to 1,002.53, 1,383.56 and 577.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.53 : 1,383.56 = 577.28 : x
2. Step 2: Convert to fraction form
   1,002.53/1,383.56 = 577.28/x
3. Step 3: Cross multiply
   1,002.53x = 1,383.56 × 577.28
4. Step 4: Simplify right side
   1,002.53x = 798,698.63
5. Step 5: Solve for x
   x = 798,698.63/1,002.53
6. Step 6: Final answer
   x = 796.69