Finding the Fourth Proportional to 1,222.00, 1,685.85 and 802.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,222.00 : 1,685.85 = 802.82 : x
2. Step 2: Convert to fraction form
   1,222.00/1,685.85 = 802.82/x
3. Step 3: Cross multiply
   1,222.00x = 1,685.85 × 802.82
4. Step 4: Simplify right side
   1,222.00x = 1,353,435.30
5. Step 5: Solve for x
   x = 1,353,435.30/1,222.00
6. Step 6: Final answer
   x = 1,107.56