Finding the Fourth Proportional to 1,019.94, 1,530.30 and 435.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,019.94 : 1,530.30 = 435.06 : x
2. Step 2: Convert to fraction form
   1,019.94/1,530.30 = 435.06/x
3. Step 3: Cross multiply
   1,019.94x = 1,530.30 × 435.06
4. Step 4: Simplify right side
   1,019.94x = 665,772.32
5. Step 5: Solve for x
   x = 665,772.32/1,019.94
6. Step 6: Final answer
   x = 652.76