Finding the Fourth Proportional to 3,827.89, 5,742.75 and 1,230.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.89 : 5,742.75 = 1,230.82 : x
2. Step 2: Convert to fraction form
   3,827.89/5,742.75 = 1,230.82/x
3. Step 3: Cross multiply
   3,827.89x = 5,742.75 × 1,230.82
4. Step 4: Simplify right side
   3,827.89x = 7,068,291.56
5. Step 5: Solve for x
   x = 7,068,291.56/3,827.89
6. Step 6: Final answer
   x = 1,846.52