Finding the Fourth Proportional to 6,499.52, 8,969.87 and 3,666.74

Step by Step Solution

1. Step 1: Write the proportion equation
   6,499.52 : 8,969.87 = 3,666.74 : x
2. Step 2: Convert to fraction form
   6,499.52/8,969.87 = 3,666.74/x
3. Step 3: Cross multiply
   6,499.52x = 8,969.87 × 3,666.74
4. Step 4: Simplify right side
   6,499.52x = 32,890,185.21
5. Step 5: Solve for x
   x = 32,890,185.21/6,499.52
6. Step 6: Final answer
   x = 5,060.41