Finding the Fourth Proportional to 2,144.53, 3,214.05 and 974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,144.53 : 3,214.05 = 974.50 : x
2. Step 2: Convert to fraction form
   2,144.53/3,214.05 = 974.50/x
3. Step 3: Cross multiply
   2,144.53x = 3,214.05 × 974.50
4. Step 4: Simplify right side
   2,144.53x = 3,132,091.73
5. Step 5: Solve for x
   x = 3,132,091.73/2,144.53
6. Step 6: Final answer
   x = 1,460.50