Finding the Fourth Proportional to 6,885.30, 10,314.69 and 4,114.20

Step by Step Solution

1. Step 1: Write the proportion equation
   6,885.30 : 10,314.69 = 4,114.20 : x
2. Step 2: Convert to fraction form
   6,885.30/10,314.69 = 4,114.20/x
3. Step 3: Cross multiply
   6,885.30x = 10,314.69 × 4,114.20
4. Step 4: Simplify right side
   6,885.30x = 42,436,697.60
5. Step 5: Solve for x
   x = 42,436,697.60/6,885.30
6. Step 6: Final answer
   x = 6,163.38