Finding the Fourth Proportional to 1,554.42, 2,329.72 and 823.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,554.42 : 2,329.72 = 823.52 : x
2. Step 2: Convert to fraction form
   1,554.42/2,329.72 = 823.52/x
3. Step 3: Cross multiply
   1,554.42x = 2,329.72 × 823.52
4. Step 4: Simplify right side
   1,554.42x = 1,918,571.01
5. Step 5: Solve for x
   x = 1,918,571.01/1,554.42
6. Step 6: Final answer
   x = 1,234.27