Finding the Fourth Proportional to 1,191.68, 1,644.64 and 667.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,191.68 : 1,644.64 = 667.82 : x
2. Step 2: Convert to fraction form
   1,191.68/1,644.64 = 667.82/x
3. Step 3: Cross multiply
   1,191.68x = 1,644.64 × 667.82
4. Step 4: Simplify right side
   1,191.68x = 1,098,323.48
5. Step 5: Solve for x
   x = 1,098,323.48/1,191.68
6. Step 6: Final answer
   x = 921.66