Finding the Fourth Proportional to 1,191.34, 1,786.29 and 805.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.34 : 1,786.29 = 805.42 : x
2. Step 2: Convert to fraction form
   1,191.34/1,786.29 = 805.42/x
3. Step 3: Cross multiply
   1,191.34x = 1,786.29 × 805.42
4. Step 4: Simplify right side
   1,191.34x = 1,438,713.69
5. Step 5: Solve for x
   x = 1,438,713.69/1,191.34
6. Step 6: Final answer
   x = 1,207.64