Finding the Fourth Proportional to 2,635.67, 3,637.20 and 1,456.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,635.67 : 3,637.20 = 1,456.75 : x
2. Step 2: Convert to fraction form
   2,635.67/3,637.20 = 1,456.75/x
3. Step 3: Cross multiply
   2,635.67x = 3,637.20 × 1,456.75
4. Step 4: Simplify right side
   2,635.67x = 5,298,501.11
5. Step 5: Solve for x
   x = 5,298,501.11/2,635.67
6. Step 6: Final answer
   x = 2,010.30