Finding the Fourth Proportional to 6,499.04, 8,972.78 and 4,614.57

Step by Step Solution

1. Step 1: Write the proportion equation
   6,499.04 : 8,972.78 = 4,614.57 : x
2. Step 2: Convert to fraction form
   6,499.04/8,972.78 = 4,614.57/x
3. Step 3: Cross multiply
   6,499.04x = 8,972.78 × 4,614.57
4. Step 4: Simplify right side
   6,499.04x = 41,405,498.33
5. Step 5: Solve for x
   x = 41,405,498.33/6,499.04
6. Step 6: Final answer
   x = 6,371.02