Finding the Fourth Proportional to 5,005.72, 7,471.92 and 4,414.58

Step by Step Solution

1. Step 1: Write the proportion equation
   5,005.72 : 7,471.92 = 4,414.58 : x
2. Step 2: Convert to fraction form
   5,005.72/7,471.92 = 4,414.58/x
3. Step 3: Cross multiply
   5,005.72x = 7,471.92 × 4,414.58
4. Step 4: Simplify right side
   5,005.72x = 32,985,388.59
5. Step 5: Solve for x
   x = 32,985,388.59/5,005.72
6. Step 6: Final answer
   x = 6,589.54