Finding the Fourth Proportional to 1,382.00, 1,906.53 and 822.17

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.00 : 1,906.53 = 822.17 : x
2. Step 2: Convert to fraction form
   1,382.00/1,906.53 = 822.17/x
3. Step 3: Cross multiply
   1,382.00x = 1,906.53 × 822.17
4. Step 4: Simplify right side
   1,382.00x = 1,567,482.24
5. Step 5: Solve for x
   x = 1,567,482.24/1,382.00
6. Step 6: Final answer
   x = 1,134.22