Finding the Fourth Proportional to 1,394.91, 1,924.57 and 1,002.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,394.91 : 1,924.57 = 1,002.16 : x
2. Step 2: Convert to fraction form
   1,394.91/1,924.57 = 1,002.16/x
3. Step 3: Cross multiply
   1,394.91x = 1,924.57 × 1,002.16
4. Step 4: Simplify right side
   1,394.91x = 1,928,727.07
5. Step 5: Solve for x
   x = 1,928,727.07/1,394.91
6. Step 6: Final answer
   x = 1,382.69