Finding the Fourth Proportional to 1,382.58, 1,907.94 and 823.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.58 : 1,907.94 = 823.32 : x
2. Step 2: Convert to fraction form
   1,382.58/1,907.94 = 823.32/x
3. Step 3: Cross multiply
   1,382.58x = 1,907.94 × 823.32
4. Step 4: Simplify right side
   1,382.58x = 1,570,845.16
5. Step 5: Solve for x
   x = 1,570,845.16/1,382.58
6. Step 6: Final answer
   x = 1,136.17