Finding the Fourth Proportional to 2,012.40, 3,019.50 and 971.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,012.40 : 3,019.50 = 971.82 : x
2. Step 2: Convert to fraction form
   2,012.40/3,019.50 = 971.82/x
3. Step 3: Cross multiply
   2,012.40x = 3,019.50 × 971.82
4. Step 4: Simplify right side
   2,012.40x = 2,934,410.49
5. Step 5: Solve for x
   x = 2,934,410.49/2,012.40
6. Step 6: Final answer
   x = 1,458.16