Finding the Fourth Proportional to 1,171.59, 1,616.25 and 822.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.59 : 1,616.25 = 822.48 : x
2. Step 2: Convert to fraction form
   1,171.59/1,616.25 = 822.48/x
3. Step 3: Cross multiply
   1,171.59x = 1,616.25 × 822.48
4. Step 4: Simplify right side
   1,171.59x = 1,329,333.30
5. Step 5: Solve for x
   x = 1,329,333.30/1,171.59
6. Step 6: Final answer
   x = 1,134.64