Finding the Fourth Proportional to 1,020.41, 1,530.84 and 290.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,020.41 : 1,530.84 = 290.00 : x
2. Step 2: Convert to fraction form
   1,020.41/1,530.84 = 290.00/x
3. Step 3: Cross multiply
   1,020.41x = 1,530.84 × 290.00
4. Step 4: Simplify right side
   1,020.41x = 443,935.95
5. Step 5: Solve for x
   x = 443,935.95/1,020.41
6. Step 6: Final answer
   x = 435.06