Finding the Fourth Proportional to 1,012.33, 1,519.17 and 464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.33 : 1,519.17 = 464.50 : x
2. Step 2: Convert to fraction form
   1,012.33/1,519.17 = 464.50/x
3. Step 3: Cross multiply
   1,012.33x = 1,519.17 × 464.50
4. Step 4: Simplify right side
   1,012.33x = 705,654.47
5. Step 5: Solve for x
   x = 705,654.47/1,012.33
6. Step 6: Final answer
   x = 697.06