Finding the Fourth Proportional to 1,020.51, 1,529.82 and 404.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.51 : 1,529.82 = 404.10 : x
2. Step 2: Convert to fraction form
   1,020.51/1,529.82 = 404.10/x
3. Step 3: Cross multiply
   1,020.51x = 1,529.82 × 404.10
4. Step 4: Simplify right side
   1,020.51x = 618,200.26
5. Step 5: Solve for x
   x = 618,200.26/1,020.51
6. Step 6: Final answer
   x = 605.78