Finding the Fourth Proportional to 1,026.89, 1,417.08 and 584.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.89 : 1,417.08 = 584.69 : x
2. Step 2: Convert to fraction form
   1,026.89/1,417.08 = 584.69/x
3. Step 3: Cross multiply
   1,026.89x = 1,417.08 × 584.69
4. Step 4: Simplify right side
   1,026.89x = 828,549.58
5. Step 5: Solve for x
   x = 828,549.58/1,026.89
6. Step 6: Final answer
   x = 806.86