Finding the Fourth Proportional to 2,456.25, 3,686.01 and 1,157.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.25 : 3,686.01 = 1,157.82 : x
2. Step 2: Convert to fraction form
   2,456.25/3,686.01 = 1,157.82/x
3. Step 3: Cross multiply
   2,456.25x = 3,686.01 × 1,157.82
4. Step 4: Simplify right side
   2,456.25x = 4,267,736.10
5. Step 5: Solve for x
   x = 4,267,736.10/2,456.25
6. Step 6: Final answer
   x = 1,737.50