Finding the Fourth Proportional to 1,382.79, 1,908.22 and 785.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,382.79 : 1,908.22 = 785.34 : x
2. Step 2: Convert to fraction form
   1,382.79/1,908.22 = 785.34/x
3. Step 3: Cross multiply
   1,382.79x = 1,908.22 × 785.34
4. Step 4: Simplify right side
   1,382.79x = 1,498,601.49
5. Step 5: Solve for x
   x = 1,498,601.49/1,382.79
6. Step 6: Final answer
   x = 1,083.75