Finding the Fourth Proportional to 6,499.64, 8,969.47 and 3,667.01

Step by Step Solution

1. Step 1: Write the proportion equation
   6,499.64 : 8,969.47 = 3,667.01 : x
2. Step 2: Convert to fraction form
   6,499.64/8,969.47 = 3,667.01/x
3. Step 3: Cross multiply
   6,499.64x = 8,969.47 × 3,667.01
4. Step 4: Simplify right side
   6,499.64x = 32,891,113.76
5. Step 5: Solve for x
   x = 32,891,113.76/6,499.64
6. Step 6: Final answer
   x = 5,060.46