Finding the Fourth Proportional to 6,298.38, 9,444.43 and 3,666.76

Step by Step Solution

1. Step 1: Write the proportion equation
   6,298.38 : 9,444.43 = 3,666.76 : x
2. Step 2: Convert to fraction form
   6,298.38/9,444.43 = 3,666.76/x
3. Step 3: Cross multiply
   6,298.38x = 9,444.43 × 3,666.76
4. Step 4: Simplify right side
   6,298.38x = 34,630,458.15
5. Step 5: Solve for x
   x = 34,630,458.15/6,298.38
6. Step 6: Final answer
   x = 5,498.31