Finding the Fourth Proportional to 1,867.27, 2,577.76 and 1,446.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,867.27 : 2,577.76 = 1,446.67 : x
2. Step 2: Convert to fraction form
   1,867.27/2,577.76 = 1,446.67/x
3. Step 3: Cross multiply
   1,867.27x = 2,577.76 × 1,446.67
4. Step 4: Simplify right side
   1,867.27x = 3,729,151.93
5. Step 5: Solve for x
   x = 3,729,151.93/1,867.27
6. Step 6: Final answer
   x = 1,997.12