Finding the Fourth Proportional to 1,460.50, 2,185.50 and 1,362.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,460.50 : 2,185.50 = 1,362.74 : x
2. Step 2: Convert to fraction form
   1,460.50/2,185.50 = 1,362.74/x
3. Step 3: Cross multiply
   1,460.50x = 2,185.50 × 1,362.74
4. Step 4: Simplify right side
   1,460.50x = 2,978,262.81
5. Step 5: Solve for x
   x = 2,978,262.81/1,460.50
6. Step 6: Final answer
   x = 2,039.21