Finding the Fourth Proportional to 6,336.30, 8,742.69 and 3,977.58

Step by Step Solution

1. Step 1: Write the proportion equation
   6,336.30 : 8,742.69 = 3,977.58 : x
2. Step 2: Convert to fraction form
   6,336.30/8,742.69 = 3,977.58/x
3. Step 3: Cross multiply
   6,336.30x = 8,742.69 × 3,977.58
4. Step 4: Simplify right side
   6,336.30x = 34,774,748.89
5. Step 5: Solve for x
   x = 34,774,748.89/6,336.30
6. Step 6: Final answer
   x = 5,488.18