Finding the Fourth Proportional to 1,406.34, 1,940.58 and 785.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.34 : 1,940.58 = 785.34 : x
2. Step 2: Convert to fraction form
   1,406.34/1,940.58 = 785.34/x
3. Step 3: Cross multiply
   1,406.34x = 1,940.58 × 785.34
4. Step 4: Simplify right side
   1,406.34x = 1,524,015.10
5. Step 5: Solve for x
   x = 1,524,015.10/1,406.34
6. Step 6: Final answer
   x = 1,083.67