Finding the Fourth Proportional to 1,382.13, 1,907.74 and 822.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.13 : 1,907.74 = 822.99 : x
2. Step 2: Convert to fraction form
   1,382.13/1,907.74 = 822.99/x
3. Step 3: Cross multiply
   1,382.13x = 1,907.74 × 822.99
4. Step 4: Simplify right side
   1,382.13x = 1,570,050.94
5. Step 5: Solve for x
   x = 1,570,050.94/1,382.13
6. Step 6: Final answer
   x = 1,135.96