Finding the Fourth Proportional to 1,383.35, 1,908.56 and 785.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,383.35 : 1,908.56 = 785.77 : x
2. Step 2: Convert to fraction form
   1,383.35/1,908.56 = 785.77/x
3. Step 3: Cross multiply
   1,383.35x = 1,908.56 × 785.77
4. Step 4: Simplify right side
   1,383.35x = 1,499,686.38
5. Step 5: Solve for x
   x = 1,499,686.38/1,383.35
6. Step 6: Final answer
   x = 1,084.10