Finding the Fourth Proportional to 3,827.72, 5,743.20 and 2,094.32

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.72 : 5,743.20 = 2,094.32 : x
2. Step 2: Convert to fraction form
   3,827.72/5,743.20 = 2,094.32/x
3. Step 3: Cross multiply
   3,827.72x = 5,743.20 × 2,094.32
4. Step 4: Simplify right side
   3,827.72x = 12,028,069.91
5. Step 5: Solve for x
   x = 12,028,069.91/3,827.72
6. Step 6: Final answer
   x = 3,142.36