Finding the Fourth Proportional to 2,567.50, 3,852.50 and 1,397.45

Step by Step Solution

1. Step 1: Write the proportion equation
   2,567.50 : 3,852.50 = 1,397.45 : x
2. Step 2: Convert to fraction form
   2,567.50/3,852.50 = 1,397.45/x
3. Step 3: Cross multiply
   2,567.50x = 3,852.50 × 1,397.45
4. Step 4: Simplify right side
   2,567.50x = 5,383,678.77
5. Step 5: Solve for x
   x = 5,383,678.77/2,567.50
6. Step 6: Final answer
   x = 2,096.86