Finding the Fourth Proportional to 1,382.27, 1,906.49 and 978.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.27 : 1,906.49 = 978.32 : x
2. Step 2: Convert to fraction form
   1,382.27/1,906.49 = 978.32/x
3. Step 3: Cross multiply
   1,382.27x = 1,906.49 × 978.32
4. Step 4: Simplify right side
   1,382.27x = 1,865,142.87
5. Step 5: Solve for x
   x = 1,865,142.87/1,382.27
6. Step 6: Final answer
   x = 1,349.34