Finding the Fourth Proportional to 1,026.81, 1,417.01 and 584.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.81 : 1,417.01 = 584.72 : x
2. Step 2: Convert to fraction form
   1,026.81/1,417.01 = 584.72/x
3. Step 3: Cross multiply
   1,026.81x = 1,417.01 × 584.72
4. Step 4: Simplify right side
   1,026.81x = 828,554.09
5. Step 5: Solve for x
   x = 828,554.09/1,026.81
6. Step 6: Final answer
   x = 806.92