Finding the Fourth Proportional to 1,022.06, 1,410.50 and 580.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.06 : 1,410.50 = 580.01 : x
2. Step 2: Convert to fraction form
   1,022.06/1,410.50 = 580.01/x
3. Step 3: Cross multiply
   1,022.06x = 1,410.50 × 580.01
4. Step 4: Simplify right side
   1,022.06x = 818,098.50
5. Step 5: Solve for x
   x = 818,098.50/1,022.06
6. Step 6: Final answer
   x = 800.44