Finding the Fourth Proportional to 1,189.98, 1,641.33 and 796.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.98 : 1,641.33 = 796.32 : x
2. Step 2: Convert to fraction form
   1,189.98/1,641.33 = 796.32/x
3. Step 3: Cross multiply
   1,189.98x = 1,641.33 × 796.32
4. Step 4: Simplify right side
   1,189.98x = 1,307,023.91
5. Step 5: Solve for x
   x = 1,307,023.91/1,189.98
6. Step 6: Final answer
   x = 1,098.36