Finding the Fourth Proportional to 1,406.42, 1,940.86 and 785.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.42 : 1,940.86 = 785.42 : x
2. Step 2: Convert to fraction form
   1,406.42/1,940.86 = 785.42/x
3. Step 3: Cross multiply
   1,406.42x = 1,940.86 × 785.42
4. Step 4: Simplify right side
   1,406.42x = 1,524,390.26
5. Step 5: Solve for x
   x = 1,524,390.26/1,406.42
6. Step 6: Final answer
   x = 1,083.88