Finding the Fourth Proportional to 1,026.77, 1,416.88 and 584.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.77 : 1,416.88 = 584.67 : x
2. Step 2: Convert to fraction form
   1,026.77/1,416.88 = 584.67/x
3. Step 3: Cross multiply
   1,026.77x = 1,416.88 × 584.67
4. Step 4: Simplify right side
   1,026.77x = 828,401.61
5. Step 5: Solve for x
   x = 828,401.61/1,026.77
6. Step 6: Final answer
   x = 806.81