Finding the Fourth Proportional to 3,827.02, 5,723.76 and 3,546.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.02 : 5,723.76 = 3,546.82 : x
2. Step 2: Convert to fraction form
   3,827.02/5,723.76 = 3,546.82/x
3. Step 3: Cross multiply
   3,827.02x = 5,723.76 × 3,546.82
4. Step 4: Simplify right side
   3,827.02x = 20,301,146.44
5. Step 5: Solve for x
   x = 20,301,146.44/3,827.02
6. Step 6: Final answer
   x = 5,304.69