Finding the Fourth Proportional to 8,111.53, 12,164.73 and 4,213.81

Step by Step Solution

1. Step 1: Write the proportion equation
   8,111.53 : 12,164.73 = 4,213.81 : x
2. Step 2: Convert to fraction form
   8,111.53/12,164.73 = 4,213.81/x
3. Step 3: Cross multiply
   8,111.53x = 12,164.73 × 4,213.81
4. Step 4: Simplify right side
   8,111.53x = 51,259,860.92
5. Step 5: Solve for x
   x = 51,259,860.92/8,111.53
6. Step 6: Final answer
   x = 6,319.38