Finding the Fourth Proportional to 6,298.61, 8,693.37 and 3,647.48

Step by Step Solution

1. Step 1: Write the proportion equation
   6,298.61 : 8,693.37 = 3,647.48 : x
2. Step 2: Convert to fraction form
   6,298.61/8,693.37 = 3,647.48/x
3. Step 3: Cross multiply
   6,298.61x = 8,693.37 × 3,647.48
4. Step 4: Simplify right side
   6,298.61x = 31,708,849.74
5. Step 5: Solve for x
   x = 31,708,849.74/6,298.61
6. Step 6: Final answer
   x = 5,034.27