Finding the Fourth Proportional to 1,468.92, 2,028.72 and 1,026.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,468.92 : 2,028.72 = 1,026.05 : x
2. Step 2: Convert to fraction form
   1,468.92/2,028.72 = 1,026.05/x
3. Step 3: Cross multiply
   1,468.92x = 2,028.72 × 1,026.05
4. Step 4: Simplify right side
   1,468.92x = 2,081,568.16
5. Step 5: Solve for x
   x = 2,081,568.16/1,468.92
6. Step 6: Final answer
   x = 1,417.07