Finding the Fourth Proportional to 1,462.42, 2,019 and 965.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,462.42 : 2,019 = 965.89 : x
2. Step 2: Convert to fraction form
   1,462.42/2,019 = 965.89/x
3. Step 3: Cross multiply
   1,462.42x = 2,019 × 965.89
4. Step 4: Simplify right side
   1,462.42x = 1,950,131.91
5. Step 5: Solve for x
   x = 1,950,131.91/1,462.42
6. Step 6: Final answer
   x = 1,333.50