Finding the Fourth Proportional to 2,026.14, 3,036.42 and 1,466.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.14 : 3,036.42 = 1,466.40 : x
2. Step 2: Convert to fraction form
   2,026.14/3,036.42 = 1,466.40/x
3. Step 3: Cross multiply
   2,026.14x = 3,036.42 × 1,466.40
4. Step 4: Simplify right side
   2,026.14x = 4,452,606.29
5. Step 5: Solve for x
   x = 4,452,606.29/2,026.14
6. Step 6: Final answer
   x = 2,197.58