Finding the Fourth Proportional to 5,670.72, 7,823.37 and 4,182.21

Step by Step Solution

1. Step 1: Write the proportion equation
   5,670.72 : 7,823.37 = 4,182.21 : x
2. Step 2: Convert to fraction form
   5,670.72/7,823.37 = 4,182.21/x
3. Step 3: Cross multiply
   5,670.72x = 7,823.37 × 4,182.21
4. Step 4: Simplify right side
   5,670.72x = 32,718,976.25
5. Step 5: Solve for x
   x = 32,718,976.25/5,670.72
6. Step 6: Final answer
   x = 5,769.81