Finding the Fourth Proportional to 8,185.74, 12,275.37 and 3,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,185.74 : 12,275.37 = 3,565.50 : x
2. Step 2: Convert to fraction form
   8,185.74/12,275.37 = 3,565.50/x
3. Step 3: Cross multiply
   8,185.74x = 12,275.37 × 3,565.50
4. Step 4: Simplify right side
   8,185.74x = 43,767,831.74
5. Step 5: Solve for x
   x = 43,767,831.74/8,185.74
6. Step 6: Final answer
   x = 5,346.84