Finding the Fourth Proportional to 1,185.89, 1,778.62 and 536.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.89 : 1,778.62 = 536.47 : x
2. Step 2: Convert to fraction form
   1,185.89/1,778.62 = 536.47/x
3. Step 3: Cross multiply
   1,185.89x = 1,778.62 × 536.47
4. Step 4: Simplify right side
   1,185.89x = 954,176.27
5. Step 5: Solve for x
   x = 954,176.27/1,185.89
6. Step 6: Final answer
   x = 804.61