Finding the Fourth Proportional to 1,365.84, 2,049.06 and 1,185.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,365.84 : 2,049.06 = 1,185.42 : x
2. Step 2: Convert to fraction form
   1,365.84/2,049.06 = 1,185.42/x
3. Step 3: Cross multiply
   1,365.84x = 2,049.06 × 1,185.42
4. Step 4: Simplify right side
   1,365.84x = 2,428,996.71
5. Step 5: Solve for x
   x = 2,428,996.71/1,365.84
6. Step 6: Final answer
   x = 1,778.39