Finding the Fourth Proportional to 1,185.86, 1,778.88 and 364.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.86 : 1,778.88 = 364.71 : x
2. Step 2: Convert to fraction form
   1,185.86/1,778.88 = 364.71/x
3. Step 3: Cross multiply
   1,185.86x = 1,778.88 × 364.71
4. Step 4: Simplify right side
   1,185.86x = 648,775.32
5. Step 5: Solve for x
   x = 648,775.32/1,185.86
6. Step 6: Final answer
   x = 547.09