Finding the Fourth Proportional to 1,191.77, 1,644.50 and 694.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.77 : 1,644.50 = 694.35 : x
2. Step 2: Convert to fraction form
   1,191.77/1,644.50 = 694.35/x
3. Step 3: Cross multiply
   1,191.77x = 1,644.50 × 694.35
4. Step 4: Simplify right side
   1,191.77x = 1,141,855.10
5. Step 5: Solve for x
   x = 1,141,855.10/1,191.77
6. Step 6: Final answer
   x = 958.12