Finding the Fourth Proportional to 1,406.30, 1,940.69 and 785.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.30 : 1,940.69 = 785.30 : x
2. Step 2: Convert to fraction form
   1,406.30/1,940.69 = 785.30/x
3. Step 3: Cross multiply
   1,406.30x = 1,940.69 × 785.30
4. Step 4: Simplify right side
   1,406.30x = 1,524,023.86
5. Step 5: Solve for x
   x = 1,524,023.86/1,406.30
6. Step 6: Final answer
   x = 1,083.71