Finding the Fourth Proportional to 1,097.56, 1,647.18 and 808.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.56 : 1,647.18 = 808.12 : x
2. Step 2: Convert to fraction form
   1,097.56/1,647.18 = 808.12/x
3. Step 3: Cross multiply
   1,097.56x = 1,647.18 × 808.12
4. Step 4: Simplify right side
   1,097.56x = 1,331,119.10
5. Step 5: Solve for x
   x = 1,331,119.10/1,097.56
6. Step 6: Final answer
   x = 1,212.80