Finding the Fourth Proportional to 6,589.50, 9,871.89 and 3,298.74

Step by Step Solution

1. Step 1: Write the proportion equation
   6,589.50 : 9,871.89 = 3,298.74 : x
2. Step 2: Convert to fraction form
   6,589.50/9,871.89 = 3,298.74/x
3. Step 3: Cross multiply
   6,589.50x = 9,871.89 × 3,298.74
4. Step 4: Simplify right side
   6,589.50x = 32,564,798.42
5. Step 5: Solve for x
   x = 32,564,798.42/6,589.50
6. Step 6: Final answer
   x = 4,941.92