Finding the Fourth Proportional to 1,012.02, 1,519.05 and 435.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.02 : 1,519.05 = 435.30 : x
2. Step 2: Convert to fraction form
   1,012.02/1,519.05 = 435.30/x
3. Step 3: Cross multiply
   1,012.02x = 1,519.05 × 435.30
4. Step 4: Simplify right side
   1,012.02x = 661,242.47
5. Step 5: Solve for x
   x = 661,242.47/1,012.02
6. Step 6: Final answer
   x = 653.39