Finding the Fourth Proportional to 1,026.55, 1,416.72 and 584.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.55 : 1,416.72 = 584.56 : x
2. Step 2: Convert to fraction form
   1,026.55/1,416.72 = 584.56/x
3. Step 3: Cross multiply
   1,026.55x = 1,416.72 × 584.56
4. Step 4: Simplify right side
   1,026.55x = 828,157.84
5. Step 5: Solve for x
   x = 828,157.84/1,026.55
6. Step 6: Final answer
   x = 806.74