Finding the Fourth Proportional to 1,026.60, 1,416.72 and 584.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.60 : 1,416.72 = 584.52 : x
2. Step 2: Convert to fraction form
   1,026.60/1,416.72 = 584.52/x
3. Step 3: Cross multiply
   1,026.60x = 1,416.72 × 584.52
4. Step 4: Simplify right side
   1,026.60x = 828,101.17
5. Step 5: Solve for x
   x = 828,101.17/1,026.60
6. Step 6: Final answer
   x = 806.64