Finding the Fourth Proportional to 1,185.82, 1,778.80 and 364.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.82 : 1,778.80 = 364.10 : x
2. Step 2: Convert to fraction form
   1,185.82/1,778.80 = 364.10/x
3. Step 3: Cross multiply
   1,185.82x = 1,778.80 × 364.10
4. Step 4: Simplify right side
   1,185.82x = 647,665.98
5. Step 5: Solve for x
   x = 647,665.98/1,185.82
6. Step 6: Final answer
   x = 546.18