Finding the Fourth Proportional to 6,423.75, 8,864.78 and 3,629.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,423.75 : 8,864.78 = 3,629.25 : x
2. Step 2: Convert to fraction form
   6,423.75/8,864.78 = 3,629.25/x
3. Step 3: Cross multiply
   6,423.75x = 8,864.78 × 3,629.25
4. Step 4: Simplify right side
   6,423.75x = 32,172,502.82
5. Step 5: Solve for x
   x = 32,172,502.82/6,423.75
6. Step 6: Final answer
   x = 5,008.37