Finding the Fourth Proportional to 1,461.94, 2,017.46 and 823.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.94 : 2,017.46 = 823.82 : x
2. Step 2: Convert to fraction form
   1,461.94/2,017.46 = 823.82/x
3. Step 3: Cross multiply
   1,461.94x = 2,017.46 × 823.82
4. Step 4: Simplify right side
   1,461.94x = 1,662,009.69
5. Step 5: Solve for x
   x = 1,662,009.69/1,461.94
6. Step 6: Final answer
   x = 1,136.86