Finding the Fourth Proportional to 5,784.62, 7,982.89 and 3,132.14

Step by Step Solution

1. Step 1: Write the proportion equation
   5,784.62 : 7,982.89 = 3,132.14 : x
2. Step 2: Convert to fraction form
   5,784.62/7,982.89 = 3,132.14/x
3. Step 3: Cross multiply
   5,784.62x = 7,982.89 × 3,132.14
4. Step 4: Simplify right side
   5,784.62x = 25,003,481.34
5. Step 5: Solve for x
   x = 25,003,481.34/5,784.62
6. Step 6: Final answer
   x = 4,322.41