Finding the Fourth Proportional to 1,171.86, 1,616.32 and 798.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.86 : 1,616.32 = 798.24 : x
2. Step 2: Convert to fraction form
   1,171.86/1,616.32 = 798.24/x
3. Step 3: Cross multiply
   1,171.86x = 1,616.32 × 798.24
4. Step 4: Simplify right side
   1,171.86x = 1,290,211.28
5. Step 5: Solve for x
   x = 1,290,211.28/1,171.86
6. Step 6: Final answer
   x = 1,100.99