Finding the Fourth Proportional to 1,446.75, 1,997.43 and 1,114.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,446.75 : 1,997.43 = 1,114.56 : x
2. Step 2: Convert to fraction form
   1,446.75/1,997.43 = 1,114.56/x
3. Step 3: Cross multiply
   1,446.75x = 1,997.43 × 1,114.56
4. Step 4: Simplify right side
   1,446.75x = 2,226,255.58
5. Step 5: Solve for x
   x = 2,226,255.58/1,446.75
6. Step 6: Final answer
   x = 1,538.80