Finding the Fourth Proportional to 3,827.94, 5,741.37 and 2,376.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.94 : 5,741.37 = 2,376.42 : x
2. Step 2: Convert to fraction form
   3,827.94/5,741.37 = 2,376.42/x
3. Step 3: Cross multiply
   3,827.94x = 5,741.37 × 2,376.42
4. Step 4: Simplify right side
   3,827.94x = 13,643,906.50
5. Step 5: Solve for x
   x = 13,643,906.50/3,827.94
6. Step 6: Final answer
   x = 3,564.29