Finding the Fourth Proportional to 1,026.91, 1,417.15 and 584.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.91 : 1,417.15 = 584.82 : x
2. Step 2: Convert to fraction form
   1,026.91/1,417.15 = 584.82/x
3. Step 3: Cross multiply
   1,026.91x = 1,417.15 × 584.82
4. Step 4: Simplify right side
   1,026.91x = 828,775.10
5. Step 5: Solve for x
   x = 828,775.10/1,026.91
6. Step 6: Final answer
   x = 807.06