Finding the Fourth Proportional to 2,538.02, 3,800.79 and 2,096.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,538.02 : 3,800.79 = 2,096.57 : x
2. Step 2: Convert to fraction form
   2,538.02/3,800.79 = 2,096.57/x
3. Step 3: Cross multiply
   2,538.02x = 3,800.79 × 2,096.57
4. Step 4: Simplify right side
   2,538.02x = 7,968,631.79
5. Step 5: Solve for x
   x = 7,968,631.79/2,538.02
6. Step 6: Final answer
   x = 3,139.70