Finding the Fourth Proportional to 5,784.24, 7,982.96 and 4,196

Step by Step Solution

1. Step 1: Write the proportion equation
   5,784.24 : 7,982.96 = 4,196 : x
2. Step 2: Convert to fraction form
   5,784.24/7,982.96 = 4,196/x
3. Step 3: Cross multiply
   5,784.24x = 7,982.96 × 4,196
4. Step 4: Simplify right side
   5,784.24x = 33,496,500.16
5. Step 5: Solve for x
   x = 33,496,500.16/5,784.24
6. Step 6: Final answer
   x = 5,790.99