Finding the Fourth Proportional to 1,191.34, 1,644.06 and 694.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.34 : 1,644.06 = 694.06 : x
2. Step 2: Convert to fraction form
   1,191.34/1,644.06 = 694.06/x
3. Step 3: Cross multiply
   1,191.34x = 1,644.06 × 694.06
4. Step 4: Simplify right side
   1,191.34x = 1,141,076.28
5. Step 5: Solve for x
   x = 1,141,076.28/1,191.34
6. Step 6: Final answer
   x = 957.81