Finding the Fourth Proportional to 1,406.56, 1,940.92 and 785.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.56 : 1,940.92 = 785.52 : x
2. Step 2: Convert to fraction form
   1,406.56/1,940.92 = 785.52/x
3. Step 3: Cross multiply
   1,406.56x = 1,940.92 × 785.52
4. Step 4: Simplify right side
   1,406.56x = 1,524,631.48
5. Step 5: Solve for x
   x = 1,524,631.48/1,406.56
6. Step 6: Final answer
   x = 1,083.94