Finding the Fourth Proportional to 1,424.09, 1,965.47 and 826.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,424.09 : 1,965.47 = 826.49 : x
2. Step 2: Convert to fraction form
   1,424.09/1,965.47 = 826.49/x
3. Step 3: Cross multiply
   1,424.09x = 1,965.47 × 826.49
4. Step 4: Simplify right side
   1,424.09x = 1,624,427.34
5. Step 5: Solve for x
   x = 1,624,427.34/1,424.09
6. Step 6: Final answer
   x = 1,140.68