Finding the Fourth Proportional to 2,026.14, 2,791.98 and 1,465.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,026.14 : 2,791.98 = 1,465.62 : x
2. Step 2: Convert to fraction form
   2,026.14/2,791.98 = 1,465.62/x
3. Step 3: Cross multiply
   2,026.14x = 2,791.98 × 1,465.62
4. Step 4: Simplify right side
   2,026.14x = 4,091,981.73
5. Step 5: Solve for x
   x = 4,091,981.73/2,026.14
6. Step 6: Final answer
   x = 2,019.59