Finding the Fourth Proportional to 1,185.32, 1,778.06 and 364.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.32 : 1,778.06 = 364.16 : x
2. Step 2: Convert to fraction form
   1,185.32/1,778.06 = 364.16/x
3. Step 3: Cross multiply
   1,185.32x = 1,778.06 × 364.16
4. Step 4: Simplify right side
   1,185.32x = 647,503.69
5. Step 5: Solve for x
   x = 647,503.69/1,185.32
6. Step 6: Final answer
   x = 546.27