Finding the Fourth Proportional to 1,097.18, 1,645.59 and 327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.18 : 1,645.59 = 327.50 : x
2. Step 2: Convert to fraction form
   1,097.18/1,645.59 = 327.50/x
3. Step 3: Cross multiply
   1,097.18x = 1,645.59 × 327.50
4. Step 4: Simplify right side
   1,097.18x = 538,930.73
5. Step 5: Solve for x
   x = 538,930.73/1,097.18
6. Step 6: Final answer
   x = 491.20