Finding the Fourth Proportional to 1,141.47, 1,575.72 and 822.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,141.47 : 1,575.72 = 822.69 : x
2. Step 2: Convert to fraction form
   1,141.47/1,575.72 = 822.69/x
3. Step 3: Cross multiply
   1,141.47x = 1,575.72 × 822.69
4. Step 4: Simplify right side
   1,141.47x = 1,296,329.09
5. Step 5: Solve for x
   x = 1,296,329.09/1,141.47
6. Step 6: Final answer
   x = 1,135.67