Finding the Fourth Proportional to 6,171.86, 8,517.33 and 3,813.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,171.86 : 8,517.33 = 3,813.78 : x
2. Step 2: Convert to fraction form
   6,171.86/8,517.33 = 3,813.78/x
3. Step 3: Cross multiply
   6,171.86x = 8,517.33 × 3,813.78
4. Step 4: Simplify right side
   6,171.86x = 32,483,222.81
5. Step 5: Solve for x
   x = 32,483,222.81/6,171.86
6. Step 6: Final answer
   x = 5,263.12