Finding the Fourth Proportional to 1,002.33, 1,382.52 and 919.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.33 : 1,382.52 = 919.71 : x
2. Step 2: Convert to fraction form
   1,002.33/1,382.52 = 919.71/x
3. Step 3: Cross multiply
   1,002.33x = 1,382.52 × 919.71
4. Step 4: Simplify right side
   1,002.33x = 1,271,517.47
5. Step 5: Solve for x
   x = 1,271,517.47/1,002.33
6. Step 6: Final answer
   x = 1,268.56