Finding the Fourth Proportional to 1,382.57, 1,907.69 and 823.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.57 : 1,907.69 = 823.18 : x
2. Step 2: Convert to fraction form
   1,382.57/1,907.69 = 823.18/x
3. Step 3: Cross multiply
   1,382.57x = 1,907.69 × 823.18
4. Step 4: Simplify right side
   1,382.57x = 1,570,372.25
5. Step 5: Solve for x
   x = 1,570,372.25/1,382.57
6. Step 6: Final answer
   x = 1,135.84