Finding the Fourth Proportional to 1,026.03, 1,414.62 and 746.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.03 : 1,414.62 = 746.04 : x
2. Step 2: Convert to fraction form
   1,026.03/1,414.62 = 746.04/x
3. Step 3: Cross multiply
   1,026.03x = 1,414.62 × 746.04
4. Step 4: Simplify right side
   1,026.03x = 1,055,363.10
5. Step 5: Solve for x
   x = 1,055,363.10/1,026.03
6. Step 6: Final answer
   x = 1,028.59