Finding the Fourth Proportional to 1,191.65, 1,644.56 and 694.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.65 : 1,644.56 = 694.10 : x
2. Step 2: Convert to fraction form
   1,191.65/1,644.56 = 694.10/x
3. Step 3: Cross multiply
   1,191.65x = 1,644.56 × 694.10
4. Step 4: Simplify right side
   1,191.65x = 1,141,494.94
5. Step 5: Solve for x
   x = 1,141,494.94/1,191.65
6. Step 6: Final answer
   x = 957.92