Finding the Fourth Proportional to 1,026.88, 1,416.89 and 584.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.88 : 1,416.89 = 584.77 : x
2. Step 2: Convert to fraction form
   1,026.88/1,416.89 = 584.77/x
3. Step 3: Cross multiply
   1,026.88x = 1,416.89 × 584.77
4. Step 4: Simplify right side
   1,026.88x = 828,555.34
5. Step 5: Solve for x
   x = 828,555.34/1,026.88
6. Step 6: Final answer
   x = 806.87