Finding the Fourth Proportional to 1,152.52, 1,729.14 and 822.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.52 : 1,729.14 = 822.94 : x
2. Step 2: Convert to fraction form
   1,152.52/1,729.14 = 822.94/x
3. Step 3: Cross multiply
   1,152.52x = 1,729.14 × 822.94
4. Step 4: Simplify right side
   1,152.52x = 1,422,978.47
5. Step 5: Solve for x
   x = 1,422,978.47/1,152.52
6. Step 6: Final answer
   x = 1,234.67