Finding the Fourth Proportional to 6,196.02, 8,549.17 and 3,677.77

Step by Step Solution

1. Step 1: Write the proportion equation
   6,196.02 : 8,549.17 = 3,677.77 : x
2. Step 2: Convert to fraction form
   6,196.02/8,549.17 = 3,677.77/x
3. Step 3: Cross multiply
   6,196.02x = 8,549.17 × 3,677.77
4. Step 4: Simplify right side
   6,196.02x = 31,441,880.95
5. Step 5: Solve for x
   x = 31,441,880.95/6,196.02
6. Step 6: Final answer
   x = 5,074.53