Finding the Fourth Proportional to 1,022.17, 1,410.54 and 580.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.17 : 1,410.54 = 580.06 : x
2. Step 2: Convert to fraction form
   1,022.17/1,410.54 = 580.06/x
3. Step 3: Cross multiply
   1,022.17x = 1,410.54 × 580.06
4. Step 4: Simplify right side
   1,022.17x = 818,194.31
5. Step 5: Solve for x
   x = 818,194.31/1,022.17
6. Step 6: Final answer
   x = 800.45