Finding the Fourth Proportional to 2,538.27, 3,796.88 and 2,382.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.27 : 3,796.88 = 2,382.75 : x
2. Step 2: Convert to fraction form
   2,538.27/3,796.88 = 2,382.75/x
3. Step 3: Cross multiply
   2,538.27x = 3,796.88 × 2,382.75
4. Step 4: Simplify right side
   2,538.27x = 9,047,003.91
5. Step 5: Solve for x
   x = 9,047,003.91/2,538.27
6. Step 6: Final answer
   x = 3,564.24