Finding the Fourth Proportional to 1,097.83, 1,646.86 and 367.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.83 : 1,646.86 = 367.46 : x
2. Step 2: Convert to fraction form
   1,097.83/1,646.86 = 367.46/x
3. Step 3: Cross multiply
   1,097.83x = 1,646.86 × 367.46
4. Step 4: Simplify right side
   1,097.83x = 605,156.49
5. Step 5: Solve for x
   x = 605,156.49/1,097.83
6. Step 6: Final answer
   x = 551.23