Finding the Fourth Proportional to 6,493.76, 8,962.88 and 3,806.20

Step by Step Solution

1. Step 1: Write the proportion equation
   6,493.76 : 8,962.88 = 3,806.20 : x
2. Step 2: Convert to fraction form
   6,493.76/8,962.88 = 3,806.20/x
3. Step 3: Cross multiply
   6,493.76x = 8,962.88 × 3,806.20
4. Step 4: Simplify right side
   6,493.76x = 34,114,513.86
5. Step 5: Solve for x
   x = 34,114,513.86/6,493.76
6. Step 6: Final answer
   x = 5,253.43