Finding the Fourth Proportional to 1,189.49, 1,641.33 and 796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.49 : 1,641.33 = 796.50 : x
2. Step 2: Convert to fraction form
   1,189.49/1,641.33 = 796.50/x
3. Step 3: Cross multiply
   1,189.49x = 1,641.33 × 796.50
4. Step 4: Simplify right side
   1,189.49x = 1,307,319.35
5. Step 5: Solve for x
   x = 1,307,319.35/1,189.49
6. Step 6: Final answer
   x = 1,099.06