Finding the Fourth Proportional to 1,026.89, 1,417.14 and 584.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.89 : 1,417.14 = 584.78 : x
2. Step 2: Convert to fraction form
   1,026.89/1,417.14 = 584.78/x
3. Step 3: Cross multiply
   1,026.89x = 1,417.14 × 584.78
4. Step 4: Simplify right side
   1,026.89x = 828,718.67
5. Step 5: Solve for x
   x = 828,718.67/1,026.89
6. Step 6: Final answer
   x = 807.02