Finding the Fourth Proportional to 7,114.56, 10,675.89 and 3,827.58

Step by Step Solution

1. Step 1: Write the proportion equation
   7,114.56 : 10,675.89 = 3,827.58 : x
2. Step 2: Convert to fraction form
   7,114.56/10,675.89 = 3,827.58/x
3. Step 3: Cross multiply
   7,114.56x = 10,675.89 × 3,827.58
4. Step 4: Simplify right side
   7,114.56x = 40,862,823.05
5. Step 5: Solve for x
   x = 40,862,823.05/7,114.56
6. Step 6: Final answer
   x = 5,743.55