Finding the Fourth Proportional to 2,002.31, 3,004.30 and 832.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.31 : 3,004.30 = 832.57 : x
2. Step 2: Convert to fraction form
   2,002.31/3,004.30 = 832.57/x
3. Step 3: Cross multiply
   2,002.31x = 3,004.30 × 832.57
4. Step 4: Simplify right side
   2,002.31x = 2,501,290.05
5. Step 5: Solve for x
   x = 2,501,290.05/2,002.31
6. Step 6: Final answer
   x = 1,249.20