Finding the Fourth Proportional to 2,456.56, 3,675.68 and 1,465.76

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.56 : 3,675.68 = 1,465.76 : x
2. Step 2: Convert to fraction form
   2,456.56/3,675.68 = 1,465.76/x
3. Step 3: Cross multiply
   2,456.56x = 3,675.68 × 1,465.76
4. Step 4: Simplify right side
   2,456.56x = 5,387,664.72
5. Step 5: Solve for x
   x = 5,387,664.72/2,456.56
6. Step 6: Final answer
   x = 2,193.17