Finding the Fourth Proportional to 6,476.16, 8,936.82 and 3,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,476.16 : 8,936.82 = 3,643.50 : x
2. Step 2: Convert to fraction form
   6,476.16/8,936.82 = 3,643.50/x
3. Step 3: Cross multiply
   6,476.16x = 8,936.82 × 3,643.50
4. Step 4: Simplify right side
   6,476.16x = 32,561,303.67
5. Step 5: Solve for x
   x = 32,561,303.67/6,476.16
6. Step 6: Final answer
   x = 5,027.87