Finding the Fourth Proportional to 1,382.00, 1,907.55 and 822.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.00 : 1,907.55 = 822.62 : x
2. Step 2: Convert to fraction form
   1,382.00/1,907.55 = 822.62/x
3. Step 3: Cross multiply
   1,382.00x = 1,907.55 × 822.62
4. Step 4: Simplify right side
   1,382.00x = 1,569,193.55
5. Step 5: Solve for x
   x = 1,569,193.55/1,382.00
6. Step 6: Final answer
   x = 1,135.46