Finding the Fourth Proportional to 1,189.17, 1,641.33 and 691.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.17 : 1,641.33 = 691.83 : x
2. Step 2: Convert to fraction form
   1,189.17/1,641.33 = 691.83/x
3. Step 3: Cross multiply
   1,189.17x = 1,641.33 × 691.83
4. Step 4: Simplify right side
   1,189.17x = 1,135,521.33
5. Step 5: Solve for x
   x = 1,135,521.33/1,189.17
6. Step 6: Final answer
   x = 954.89