Finding the Fourth Proportional to 1,105.61, 1,657.98 and 796.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.61 : 1,657.98 = 796.55 : x
2. Step 2: Convert to fraction form
   1,105.61/1,657.98 = 796.55/x
3. Step 3: Cross multiply
   1,105.61x = 1,657.98 × 796.55
4. Step 4: Simplify right side
   1,105.61x = 1,320,655.68
5. Step 5: Solve for x
   x = 1,320,655.68/1,105.61
6. Step 6: Final answer
   x = 1,194.51