Finding the Fourth Proportional to 3,845.40, 5,727.54 and 3,827.58

Step by Step Solution

1. Step 1: Write the proportion equation
   3,845.40 : 5,727.54 = 3,827.58 : x
2. Step 2: Convert to fraction form
   3,845.40/5,727.54 = 3,827.58/x
3. Step 3: Cross multiply
   3,845.40x = 5,727.54 × 3,827.58
4. Step 4: Simplify right side
   3,845.40x = 21,922,617.55
5. Step 5: Solve for x
   x = 21,922,617.55/3,845.40
6. Step 6: Final answer
   x = 5,701.00