Finding the Fourth Proportional to 1,440.41, 2,162.78 and 824.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,440.41 : 2,162.78 = 824.81 : x
2. Step 2: Convert to fraction form
   1,440.41/2,162.78 = 824.81/x
3. Step 3: Cross multiply
   1,440.41x = 2,162.78 × 824.81
4. Step 4: Simplify right side
   1,440.41x = 1,783,878.45
5. Step 5: Solve for x
   x = 1,783,878.45/1,440.41
6. Step 6: Final answer
   x = 1,238.45