Finding the Fourth Proportional to 3,872.32, 5,778.01 and 3,637.24

Step by Step Solution

1. Step 1: Write the proportion equation
   3,872.32 : 5,778.01 = 3,637.24 : x
2. Step 2: Convert to fraction form
   3,872.32/5,778.01 = 3,637.24/x
3. Step 3: Cross multiply
   3,872.32x = 5,778.01 × 3,637.24
4. Step 4: Simplify right side
   3,872.32x = 21,016,009.09
5. Step 5: Solve for x
   x = 21,016,009.09/3,872.32
6. Step 6: Final answer
   x = 5,427.24