Finding the Fourth Proportional to 1,406.55, 2,109.73 and 794.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.55 : 2,109.73 = 794.09 : x
2. Step 2: Convert to fraction form
   1,406.55/2,109.73 = 794.09/x
3. Step 3: Cross multiply
   1,406.55x = 2,109.73 × 794.09
4. Step 4: Simplify right side
   1,406.55x = 1,675,315.50
5. Step 5: Solve for x
   x = 1,675,315.50/1,406.55
6. Step 6: Final answer
   x = 1,191.08