Finding the Fourth Proportional to 1,462.14, 2,180.97 and 1,306.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.14 : 2,180.97 = 1,306.62 : x
2. Step 2: Convert to fraction form
   1,462.14/2,180.97 = 1,306.62/x
3. Step 3: Cross multiply
   1,462.14x = 2,180.97 × 1,306.62
4. Step 4: Simplify right side
   1,462.14x = 2,849,699.02
5. Step 5: Solve for x
   x = 2,849,699.02/1,462.14
6. Step 6: Final answer
   x = 1,948.99