Finding the Fourth Proportional to 6,499, 8,969.50 and 3,666.96

Step by Step Solution

1. Step 1: Write the proportion equation
   6,499 : 8,969.50 = 3,666.96 : x
2. Step 2: Convert to fraction form
   6,499/8,969.50 = 3,666.96/x
3. Step 3: Cross multiply
   6,499x = 8,969.50 × 3,666.96
4. Step 4: Simplify right side
   6,499x = 32,890,797.72
5. Step 5: Solve for x
   x = 32,890,797.72/6,499
6. Step 6: Final answer
   x = 5,060.90