Finding the Fourth Proportional to 6,872.50, 9,484.05 and 3,728.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,872.50 : 9,484.05 = 3,728.69 : x
2. Step 2: Convert to fraction form
   6,872.50/9,484.05 = 3,728.69/x
3. Step 3: Cross multiply
   6,872.50x = 9,484.05 × 3,728.69
4. Step 4: Simplify right side
   6,872.50x = 35,363,082.39
5. Step 5: Solve for x
   x = 35,363,082.39/6,872.50
6. Step 6: Final answer
   x = 5,145.59