Finding the Fourth Proportional to 1,406.06, 1,940.37 and 785.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.06 : 1,940.37 = 785.06 : x
2. Step 2: Convert to fraction form
   1,406.06/1,940.37 = 785.06/x
3. Step 3: Cross multiply
   1,406.06x = 1,940.37 × 785.06
4. Step 4: Simplify right side
   1,406.06x = 1,523,311.72
5. Step 5: Solve for x
   x = 1,523,311.72/1,406.06
6. Step 6: Final answer
   x = 1,083.39