Finding the Fourth Proportional to 1,191.76, 1,644.78 and 694.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.76 : 1,644.78 = 694.42 : x
2. Step 2: Convert to fraction form
   1,191.76/1,644.78 = 694.42/x
3. Step 3: Cross multiply
   1,191.76x = 1,644.78 × 694.42
4. Step 4: Simplify right side
   1,191.76x = 1,142,168.13
5. Step 5: Solve for x
   x = 1,142,168.13/1,191.76
6. Step 6: Final answer
   x = 958.39