Finding the Fourth Proportional to 1,097.80, 1,646.76 and 367.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.80 : 1,646.76 = 367.31 : x
2. Step 2: Convert to fraction form
   1,097.80/1,646.76 = 367.31/x
3. Step 3: Cross multiply
   1,097.80x = 1,646.76 × 367.31
4. Step 4: Simplify right side
   1,097.80x = 604,871.42
5. Step 5: Solve for x
   x = 604,871.42/1,097.80
6. Step 6: Final answer
   x = 550.99