Finding the Fourth Proportional to 1,200.69, 1,655.72 and 822.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.69 : 1,655.72 = 822.18 : x
2. Step 2: Convert to fraction form
   1,200.69/1,655.72 = 822.18/x
3. Step 3: Cross multiply
   1,200.69x = 1,655.72 × 822.18
4. Step 4: Simplify right side
   1,200.69x = 1,361,295.76
5. Step 5: Solve for x
   x = 1,361,295.76/1,200.69
6. Step 6: Final answer
   x = 1,133.76