Finding the Fourth Proportional to 2,557.69, 3,835.67 and 997.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.69 : 3,835.67 = 997.57 : x
2. Step 2: Convert to fraction form
   2,557.69/3,835.67 = 997.57/x
3. Step 3: Cross multiply
   2,557.69x = 3,835.67 × 997.57
4. Step 4: Simplify right side
   2,557.69x = 3,826,344.33
5. Step 5: Solve for x
   x = 3,826,344.33/2,557.69
6. Step 6: Final answer
   x = 1,496.02