Finding the Fourth Proportional to 5,784.31, 7,982.37 and 3,131.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,784.31 : 7,982.37 = 3,131.69 : x
2. Step 2: Convert to fraction form
   5,784.31/7,982.37 = 3,131.69/x
3. Step 3: Cross multiply
   5,784.31x = 7,982.37 × 3,131.69
4. Step 4: Simplify right side
   5,784.31x = 24,998,292.65
5. Step 5: Solve for x
   x = 24,998,292.65/5,784.31
6. Step 6: Final answer
   x = 4,321.75