Finding the Fourth Proportional to 1,022.01, 1,410.51 and 580.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.01 : 1,410.51 = 580.02 : x
2. Step 2: Convert to fraction form
   1,022.01/1,410.51 = 580.02/x
3. Step 3: Cross multiply
   1,022.01x = 1,410.51 × 580.02
4. Step 4: Simplify right side
   1,022.01x = 818,124.01
5. Step 5: Solve for x
   x = 818,124.01/1,022.01
6. Step 6: Final answer
   x = 800.50