Finding the Fourth Proportional to 1,191.78, 1,644.52 and 694.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.78 : 1,644.52 = 694.50 : x
2. Step 2: Convert to fraction form
   1,191.78/1,644.52 = 694.50/x
3. Step 3: Cross multiply
   1,191.78x = 1,644.52 × 694.50
4. Step 4: Simplify right side
   1,191.78x = 1,142,119.14
5. Step 5: Solve for x
   x = 1,142,119.14/1,191.78
6. Step 6: Final answer
   x = 958.33