Finding the Fourth Proportional to 2,635.56, 3,637.05 and 1,456.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,635.56 : 3,637.05 = 1,456.62 : x
2. Step 2: Convert to fraction form
   2,635.56/3,637.05 = 1,456.62/x
3. Step 3: Cross multiply
   2,635.56x = 3,637.05 × 1,456.62
4. Step 4: Simplify right side
   2,635.56x = 5,297,799.77
5. Step 5: Solve for x
   x = 5,297,799.77/2,635.56
6. Step 6: Final answer
   x = 2,010.12