Finding the Fourth Proportional to 1,002.81, 1,383.96 and 577.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.81 : 1,383.96 = 577.58 : x
2. Step 2: Convert to fraction form
   1,002.81/1,383.96 = 577.58/x
3. Step 3: Cross multiply
   1,002.81x = 1,383.96 × 577.58
4. Step 4: Simplify right side
   1,002.81x = 799,342.86
5. Step 5: Solve for x
   x = 799,342.86/1,002.81
6. Step 6: Final answer
   x = 797.10