Finding the Fourth Proportional to 1,020.25, 1,530.71 and 435.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.25 : 1,530.71 = 435.23 : x
2. Step 2: Convert to fraction form
   1,020.25/1,530.71 = 435.23/x
3. Step 3: Cross multiply
   1,020.25x = 1,530.71 × 435.23
4. Step 4: Simplify right side
   1,020.25x = 666,210.91
5. Step 5: Solve for x
   x = 666,210.91/1,020.25
6. Step 6: Final answer
   x = 652.99