Finding the Fourth Proportional to 1,171.46, 1,758.56 and 823.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.46 : 1,758.56 = 823.37 : x
2. Step 2: Convert to fraction form
   1,171.46/1,758.56 = 823.37/x
3. Step 3: Cross multiply
   1,171.46x = 1,758.56 × 823.37
4. Step 4: Simplify right side
   1,171.46x = 1,447,932.64
5. Step 5: Solve for x
   x = 1,447,932.64/1,171.46
6. Step 6: Final answer
   x = 1,236.01