Finding the Fourth Proportional to 1,383.12, 1,908.73 and 785.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.12 : 1,908.73 = 785.60 : x
2. Step 2: Convert to fraction form
   1,383.12/1,908.73 = 785.60/x
3. Step 3: Cross multiply
   1,383.12x = 1,908.73 × 785.60
4. Step 4: Simplify right side
   1,383.12x = 1,499,498.29
5. Step 5: Solve for x
   x = 1,499,498.29/1,383.12
6. Step 6: Final answer
   x = 1,084.14